# JUNIOR GLOBAL POISSON WORKSHOP - 14-16 September 2020 Conference Package Virtual Three-Day Workshop for Young Poisson Geometers ...

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JUNIOR GLOBAL POISSON WORKSHOP 14-16 September 2020 Virtual Three-Day Workshop for Young Poisson Geometers Conference Package Conference Package Version 3 Anastasia Matveeva (Barcelona) Nikita Nikolaev (Geneva)

Contents 1 Virtual Conference Venue Map 4 2 Conference Schedule 5 3 Zoom + Slack 8 4 Format 9 5 Abstracts 10 5.1 Monday, 14 September | Session 1 . . . . . . . . . . . . . . . . . . . . . . . . . 10 Leonid Ryvkin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Joel Villatoro . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Jan Pulmann . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Philipp Schmitt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2 Monday, 14 September | Session 2 . . . . . . . . . . . . . . . . . . . . . . . . . 11 Charlotte Kirchhoff-Lukat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Lennart Döppenschmitt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Francesco Cattafi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Heather Lee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 5.3 Tuesday, 15 September | Session 3 . . . . . . . . . . . . . . . . . . . . . . . . . 13 Marine Fontaine & Philip Arathoon . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Matteo Casati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Ilia Gaiur . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 David Fernández . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 5.4 Tuesday, 15 September | Session 4 . . . . . . . . . . . . . . . . . . . . . . . . . 14 Maxime Fairon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Peter Crooks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Iva Halacheva . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Joshua Lackman . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 5.5 Wednesday, 16 September | Session 5 . . . . . . . . . . . . . . . . . . . . . . . 16 Praphulla Koushik . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Yanpeng Li . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Jagna Wiśniewska . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Robert Cardona . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 5.6 Wednesday, 16 September | Session 6 . . . . . . . . . . . . . . . . . . . . . . . 17 Cedric Oms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Tobias Diez . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Miquel Cueca . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Francis Bischoff . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 6 Special Sessions 19 6.1 Special Professional Development Session: Melinda Lanius . . . . . . . . . . . . . 19 6.2 Colloquium: Eva Miranda . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 7 Networking Sessions 20 8 Social Activities 21 8.1 Virtual Coffee & Tea . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 8.2 Coffee & Tea Time Lifesavers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 8.3 Random Chats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 8.4 Pictionary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 8.5 Questions Only . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 8.6 GIF and Meme Challenge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 8.7 Cards Against Humanity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 8.8 Mario Kart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 8.9 Cocktail Party . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 8.10 Scavenger Hunt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 8.11 Codenames . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 8.12 Coup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 8.13 Mafia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 9 List of Participants 34 10 Conference Package Version Updates 41 3

1. Virtual Conference Venue Map Main Conference Room Meeting ID: 927 0917 4312 Passcode: 9238562938 Parallel Session Parallel Session Room 1 Room 2 ID: 821 0029 2693 ID: 878 5714 7485 Passcode: 2604169385 Passcode: 2938562394 Parallel Session Parallel Session Room 3 Conference Room 4 Hall ID: 874 3480 4605 ID: 814 9153 9324 Passcode: 8236429986 Passcode: 5284471209 Game Room 1 Game Room 2 Game Room 3 ID: 850 8329 1340 ID: 839 7085 8210 ID: 840 8181 5344 Passcode: 2984561348 Passcode: 9237562937 Passcode: 1109560761 *Room names in green are hyperlinks to the correct Zoom meetings. *The Slack logo in the centre is a hyperlink to the Slack workspace. 4

2. Conference Schedule MONDAY, 14 SEPTEMBER 2020 GMT WELCOMING VIRTUAL COFFEE AND TEA 7:30-8:00 SLACK & MAIN CONFERENCE ROOM PLENARY SESSION 1 Leonid Ryvkin Joel Villatoro Jan Pulmann 8:00-10:00 Philipp Schmitt MAIN CONFERENCE ROOM & YouTube PARALLEL PARALLEL PARALLEL PARALLEL SESSION 1.1 SESSION 1.2 SESSION 1.3 SESSION 1.4 10:00-11:00 Ryvkin Villatoro Pulmann Schmitt ROOM 1 ROOM 2 ROOM 3 ROOM 4 SCREEN-FREE BREAK 11:00-11:15 SOCIAL ACTIVITY 1.1 SOCIAL ACTIVITY 1.2 SOCIAL ACTIVITY 1.3 Random Chats Pictionary Codenames 11:15-12:30 GAME ROOM 1 GAME ROOM 2 GAME ROOM 3 FREE TIME 12:30-15:30 (3 hours) WELCOMING VIRTUAL COFFEE AND TEA 15:30-16:00 SLACK & MAIN CONFERENCE ROOM PLENARY SESSION 2 Charlotte Kirchhoff-Lukat Lennart Döppenschmitt Francesco Cattafi 16:00-18:00 Heather Lee MAIN CONFERENCE ROOM & YouTube PARALLEL PARALLEL PARALLEL PARALLEL SESSION 2.1 SESSION 2.2 SESSION 2.3 SESSION 2.4 18:00-19:00 Kirchhoff-Lukat Döppenschmitt Cattafi Lee ROOM 1 ROOM 2 ROOM 3 ROOM 4 SCREEN-FREE BREAK 19:00-19:15 PROFESSIONAL DEVELOPMENT SESSION Melinda Lanius 19:15-19:45 MAIN CONFERENCE ROOM SOCIAL ACTIVITY 2.1 SOCIAL ACTIVITY 2.2 SOCIAL ACTIVITY 2.3 Random Chats Scavenger Hunt Coup 19:45-21:00 GAME ROOM 1 GAME ROOM 2 GAME ROOM 3 5

TUESDAY, 15 SEPTEMBER 2020 GMT VIRTUAL COFFEE AND TEA 7:30-8:00 SLACK PLENARY SESSION 3 Marine Fontaine (plenary) + Philip Arathoon (parallel) Matteo Casati Ilia Gaiur 8:00-10:00 David Fernández MAIN CONFERENCE ROOM & YouTube PARALLEL PARALLEL PARALLEL PARALLEL SESSION 3.1 SESSION 3.2 SESSION 3.3 SESSION 3.4 10:00-11:00 Fontaine+Arathoon Casati Gaiur Fernández ROOM 1 ROOM 2 ROOM 3 ROOM 4 SCREEN-FREE BREAK 11:00-11:15 SOCIAL ACTIVITY 3.1 SOCIAL ACTIVITY 3.2 SOCIAL ACTIVITY 3.3 Cards Against Humanity Mario Kart Coup 11:15-12:30 GAME ROOM 1 GAME ROOM 2 GAME ROOM 3 FREE TIME 12:30-15:30 (3 hours) VIRTUAL COFFEE AND TEA 15:30-16:00 SLACK PLENARY SESSION 4 Maxime Fairon Peter Crooks Iva Halacheva 16:00-18:00 Joshua Lackman MAIN CONFERENCE ROOM & YouTube PARALLEL PARALLEL PARALLEL PARALLEL SESSION 4.1 SESSION 4.2 SESSION 4.3 SESSION 4.4 18:00-19:00 Fairon Crooks Halacheva Lackman ROOM 1 ROOM 2 ROOM 3 ROOM 4 SCREEN-FREE BREAK 19:00-19:15 NETWORKING SESSION 19:15-19:45 MAIN CONFERENCE ROOM SOCIAL ACTIVITY 4.1 SOCIAL ACTIVITY 4.2 SOCIAL ACTIVITY 4.3 Pictionary Mafia Codenames 19:45-21:00 GAME ROOM 1 GAME ROOM 2 GAME ROOM 3 6

WEDNESDAY, 16 SEPTEMBER 2020 GMT VIRTUAL COFFEE AND TEA 7:30-8:00 SLACK PLENARY SESSION 5 Praphulla Koushik Yanpeng Li Jagna Wiśniewska 8:00-10:00 Robert Cardona MAIN CONFERENCE ROOM & YouTube PARALLEL PARALLEL PARALLEL PARALLEL SESSION 5.1 SESSION 5.2 SESSION 5.3 SESSION 5.4 10:00-11:00 Koushik Li Wiśniewska Cardona ROOM 1 ROOM 2 ROOM 3 ROOM 4 SCREEN-FREE BREAK 11:00-11:15 NETWORKING SESSION 11:15-11:45 MAIN CONFERENCE ROOM SOCIAL ACTIVITY 5.1 SOCIAL ACTIVITY 5.2 SOCIAL ACTIVITY 5.3 Scavenger Hunt GIF and Meme Challenge Mafia 11:45-13:00 GAME ROOM 1 GAME ROOM 2 GAME ROOM 3 FREE TIME 13:00-14:30 (1.5 hours) VIRTUAL COFFEE AND TEA 14:30-15:00 SLACK COLLOQUIUM Eva Miranda 15:00-16:00 MAIN CONFERENCE ROOM PLENARY SESSION 6 Cedric Oms Tobias Diez Miquel Cueca 16:00-18:00 Francis Bischoff MAIN CONFERENCE ROOM & YouTube PARALLEL PARALLEL PARALLEL PARALLEL SESSION 6.1 SESSION 6.2 SESSION 6.3 SESSION 6.4 18:00-19:00 Oms Diez Cueca Bischoff ROOM 1 ROOM 2 ROOM 3 ROOM 4 SCREEN-FREE BREAK 19:00-19:15 SOCIAL ACTIVITY 6.1 SOCIAL ACTIVITY 6.2 SOCIAL ACTIVITY 6.3 Cocktail Party Cards Against Humanity Mario Kart 19:15-21:00 GAME ROOM 1 GAME ROOM 2 GAME ROOM 3 7

3. Zoom + Slack Our online conference will use the online platform Zoom. For many social aspects of our workshop, we will be using Slack with Zoom integration. All this technology is free, easy to use, and easy to setup on your computer by following these steps: 1. Install Zoom (1) Create a free Zoom account: click here (2) Install the free Zoom App: click here 2. Install Slack (1) Install the free Slack App on your computer or mobile device: click here (2) Click this Slack invitation link to join the Junior Global Poisson 2020 workspace (3) Enter your full name and a password, then click Create Account (or use your existing Slack account). Now you should have access to our Slack workspace. (4) Click your user icon in the top right corner of your Slack app window, then se- lect Edit profile (on a mobile device, you may need to first tap the three vertical . dots .. icon), and upload a profile photo to help others identify you more easily. 3. Integrate Slack with Zoom (1) In Slack, click Apps in the left sidebar. If you don’t see this option, click More to find it. (2) Search for and select Zoom to open a direct message with the Zoom app. (3) Click Authorize Zoom. (4) Sign in to your Zoom account. (5) Click Authorize. That’s it, you’re all set and ready to go! 8

4. Format Each day has two 3-hour Presentation Sessions, each featuring four different speakers. Every Presentation Session has two parts: the 2-hour Plenary Session and 1-hour of four Parallel Sessions hosted simultaneously. Plenary Talks (25 minutes) Each Plenary Session is a block consisting of four 25-minute presentations (Plenary Talks) + 5-minute Breaks between talks, featuring four different speak- ers. These are formal presentations with strict time limits and no interruptions: questions can only be asked in chat, and participants are encouraged to postpone any discussion to Discussion Time. Ple- nary Talks will be recorded and broadcast live on YouTube, where they will remain as a public re- source. Parallel Talks (25 minutes) Following a Plenary Session, the four speakers are divided into four Parallel Sessions, which occur si- multaneously, where each speaker gives another 25- minute presentation (Parallel Talk) supplementing their Plenary Talk. Parallel Talks are meant to be informal, working-seminar style presentations, and participants are encouraged to engage with the speaker by asking questions and making remarks. Parallel Talks are not recorded and not broadcast. Parallel Discussions (30 minutes) After the Parallel Talk, the speaker hosts (with the help of a moderator) a 30-minute Parallel Discus- sion Time in the same virtual room. Participants are invited to circulate amongst the different virtual rooms. Parallel Discussions are not recorded and not broadcast. 9

5. Abstracts 5.1 Monday, 14 September | Session 1 I Multisymplectic (co-)moment geometry The existence of a (co)moment is an important prerequisite for many constructions in symplectic geometry. The recent discovery of a multisymplectic comoment, that is a morphism of L∞ -algebras, opened the pathway to reduction and quantization proce- dures in the multisymplectic realm. In this talk we will give a geometric characterization of the existence of multisymplectic comoments. We will look at the case of actions on n- dimensional spheres and discuss what can still be done, when no homotopy comoment exists. Leonid Ryvkin University Duisburg-Essen I On the Algebraic Geometry and Homotopy Theory of Sheaves of Lie- Rinehart Algebras Lie-Rinehart algebras are an algebraic generalization of the notion of a Lie algebroid. In this talk we will first survey the basics of Lie-Rinehart algebras and the natural notions of morphisms between them. A natural spectrum functor which sends Lie-Rinehart algebras to sheaves of Lie-Rinehart algebras over locally ringed spaces will then be defined. In the manifold setting, we will see that examples of non-algebroid sheaves of Lie-Rinehart algebras arise quite naturally. In conclusion, there will be an explanation of how several classical invariants of Lie algebroids such as characteristic foliations, homotopy groups, and Crainic-Fernandes style integration theory might be generalized to this setting. Joel Villatoro KU Leuven I Quantized moduli spaces of flat connections and triangulations Moduli spaces of flat connections on surfaces carry the famous Atiyah-Bott-Goldman (quasi-) Poisson structure. We describe how the deformation quantization of this Pois- son bracket depends on the necessary choices, which we reduce to a choice of a tri- angulation. Drinfeld associators will play an important role, relating triangulations connected by the elementary flip move. Jan Pulmann University of Geneva 10

I Quantization of coadjoint orbits The quantization problem is the problem of associating a non-commutative quantum algebra to a classical Poisson algebra in such a way that the commutator is related to the Poisson bracket. In a formal setting, this problem and its equivariant counterpart are well-understood, and equivariant formal deformation quantizations of semisimple coadjoint orbits were constructed by Alekseev–Lachowska from the Shapovalov pairing. Using the example of complex projective spaces, I will illustrate how their results can be used to obtain a family of equivariant non-formal products for a certain class of analytic functions on semisimple coadjoint orbits. This provides examples of quantizations in a Fréchet-algebraic setting. Philipp Schmitt University of Copenhagen 5.2 Monday, 14 September | Session 2 I Coisotropic A-Branes in Symplectic Manifolds Generalized complex branes are a natural type of submanifold in generalized complex manifolds. Symplectic structures are among the simplest and most well-studied exam- ples of generalized complex structures, and their Lagrangian submanifolds the simplest examples of generalized complex branes. But apart from Lagrangians, symplectic man- ifolds contain higher-dimensional generalized complex branes, coisotropic A-branes, which are much less understood. I will give an introduction to the theory of coisotropic A-branes and present a range of examples. Charlotte Kirchhoff-Lukat KU Leuven I The moduli space of generalized Kähler metrics Ever since Kähler metrics were introduced almost a century ago, they have proliferated many areas from Hodge theory to sigma models in QFT. I am presenting an approach to reformulate their moduli space to incorporate their generalization known as generalized Kähler metrics. We revisit work from Simon Donaldson and Joel Fine to describe the classical theory of the moduli space in terms of groupoid data. This has the advantage of fitting into the perspective of a generalized Kähler metric as a brane bisection of a holomorphic symplectic Morita equivalence as developed by Bischoff, Gualtieri and Zabzine. Lennart Döppenschmitt University of Toronto 11

I Decoupling Cartan connections and coupling G-structures: a Cartan bundle story Cartan connections on principal bundles are often informally referred to as “curved versions” of Maurer-Cartan forms on Lie groups. Indeed, a Cartan connection on a prin- cipal bundle P is defined by a surjective differential form with values in a Lie algebra of the same dimension of P. This is a fundamental difference with standard (Ehresmann) connections on P, which are defined by surjective differential forms with values in the Lie algebra of the structure group. Cartan connections appear naturally when dealing with geometric structures on man- ifolds. For instance, the Cartan connection underlying an n-dimensional Riemannian manifold can be described as the coupling of two differential forms: an Rn -valued form (describing the orthonormal frames) and an o(n)-valued form (describing the Levi- Civita connection). More generally, any G-structure with the choice of a compatible (Ehresmann) connection defines a Cartan connection, by coupling its tautological form with the connection form. During the plenary talk I will review the various concepts mentioned above and their basic properties. I will then introduce a more general notion, called a Cartan bundle, which encompasses both G-structures and Cartan geometries as extreme cases. Intu- itively, it should be thought of as an ”intermediate structure”, which interpolate between a ”naked” geometric structure, and one endowed with a compatible connection. I will conclude by giving some hints on an alternative approach to these topics via transitive Lie groupoids and multiplicative (i.e. “compatible”) vector-valued differential 1-forms. During the parallel session, I will start by giving further details on the groupoid coun- terpart of a Cartan bundle, namely a Pfaffian groupoid. After that, according to the interests/questions of the participants, I will focus on one or more among the topics we are investigating, including (Morita) morphisms and equivalences between Cartan bundles, flatness and prolongations, and the infinitesimal picture. This is joint (on-going) work with Luca Accornero (Universiteit Utrecht). Francesco Cattafi KU Leuven I Global homological mirror symmetry for genus two curves Mirror symmetry is a duality between symplectic and complex geometries. In her recent thesis, Catherine Cannizzo proved a homological mirror symmetry (HMS) result with the complex side being the derived category of coherent sheaves on genus two curves and the symplectic side being the Fukaya-Seidel category on the mirror (Y, W ), where Y is a locally toric Calabi-Yau 3-fold and W : Y → C is a symplectic fibration. Cannizzo’s thesis is for a one parameter family of complex parameters on the genus two curve. We upgrade her result to include all complex parameters and the corresponding Kahler parameters of the mirror, and we identify the mirror map globally. This is a joint work with Haniya Azam, Catherine Cannizzao, and Chiu-Chu Melissa Liu. (For this talk, I will not assume the audience has prior knowledge of derived categories, Fukaya categories, etc.) Heather Lee University of Washington 12

5.3 Tuesday, 15 September | Session 3 I Real forms of complexified Hamiltonian systems We present a theory of real forms for complex Hamiltonian systems and describe how seemingly unrelated systems are both real forms of the same complex system. The theory behaves well with respect to integrable systems. For instance, the classical in- tegrable system of the spherical pendulum on T∗ S2 can be complexified and admits a unique compact real integrable form on S2 × S2 . This can be thought of as a kind of ‘unitary trick’ for integrable systems and curiously requires an essential application of hyperkähler geometry. Joint talk Marine Fontaine & Philip Arathoon University of Antwerp University of Manchester I Poisson and quasi-Poisson structures for nonabelian integrable systems Poisson brackets are an essential tool in the description of Integrable Systems. They at the same time endow the space of “observables” with the structure of a Lie algebra (allowing us to identify the conserved quantities of the system) and describe the action of the observables on the phase space (providing us with the Hamiltonian equations). Finite-dimensional integrable systems are the prototypical example of Poisson manifold; but Poisson brackets (and hence Poisson manifolds) have been defined and studied for infinite-dimensional systems too, as in systems of PDEs and of differential-difference equations. Integrable nonabelian systems of equations (namely, systems in which the field variables take values in a nonabelian algebra, as in matrix-valued systems) can be described by the same general structure, but the underlying Poisson algebra should be replaced by the so-called double Poisson algebra. This has been established by Van Den Bergh for systems of ODEs and, more recently, by De Sole, Kac and Valeri. In this talk I would like to enlarge the landscape including integrable differential-difference equations, and cast the algebraic picture of double Poisson (and quasi-Poisson) algebras in geometrical terms, describing the Poisson-Lichnerowicz complex of their associated “noncommuta- tive Poisson manifolds”. I will also present several local and nonlocal examples of nonabelian integrable systems and of their Poisson/Hamiltonian structures. This is a joint work with Jing Ping Wang. Matteo Casati University of Kent 13

I Extended duality in the rational and trigonometric Painlevé-Calogero systems The extension of the Painlevé-Calogero correspondence for n-particle Inozemtsev sys- tems raises to the multi-particle generalisations of the Painlevé equations which may be obtained by the procedure of Hamiltonian reduction applied to the matrix or non- commutative Painlevé systems, which also gives isomonodromic formulation for these non-autonomous Hamiltonian systems. The procedure of obtaining such systems allows to consider dual systems in a spirit of the Ruijsenaars duality. In my talk I will review the Ruijsenaars duality for rational and trigonometric Calogero systems and then dis- cuss what kind of duality arises for the rational Painlevé-Calogero systems as well as for some trigonometric ones which lead to the Painlevé-Ruijsenaars systems. The de- scription of this duality in terms of the spectral curve of non-reduced system will be demonstrated in comparison to the Ruijsenaars duality. Moreover I will introduce some new generalization of the multi-particle Painlevé systems – spin Painlevé-Calogero sys- tems and the Painlevé-Calogero Hamiltonians associated with the root systems for a simple Lie algebra. Ilia Gaiur University of Birmingham I Noncommutative Poisson geometry and pre-Calabi-Yau algebras A long-standing problem in Poisson geometry has been to define appropriate ”noncom- mutative Poisson structures”. To solve it, M. Van den Bergh introduced double Poisson algebras and double quasi-Poisson algebras that can be regarded as the noncommu- tative analogues of usual Poisson manifolds and quasi-Poisson manifolds, respectively. Recently, N. Iyudu and M. Kontsevich found an insightful correspondence between dou- ble Poisson algebras and pre-Calabi-Yau algebras; certain cyclic A∞ -algebras that can be seen as noncommutative versions of shifted Poisson manifolds. In this talk, I will present an extension of Iyudu-Kontsevich’s correspondence to the differential graded setting. Moreover, I will show how a double quasi-Poisson algebra gives rise to a pre-Calabi- Yau algebra, involving the Bernoulli numbers. This is a joint work with E. Herscovich (Grenoble). David Fernández Bielefeld University 5.4 Tuesday, 15 September | Session 4 I Noncommutative Poisson geometry and integrable systems About fifteen years ago, a noncommutative version of Poisson geometry was introduced by M. Van den Bergh in his successful attempt to understand the symplectic structure of (multiplicative) quiver varieties directly at the level of the path algebra of quivers. My aim is to begin with a review of the basics of this theory, based on the notion of double brackets, and explain its deep relation with representation theory. I will then move on to recent applications in the field of finite-dimensional classical integrable systems. Maxime Fairon University of Glasgow 14

I Partial compactifications of principal Poisson slices Let G be a complex semisimple linear algebraic group of adjoint type with Lie algebra g. A Hamiltonian G-variety X and sl2 -triple τ = (ξ, h, η) ∈ g⊕3 then yield a distinguished Poisson transversal Xτ ⊆ X, called the Poisson slice determined by X and τ . Noteworthy examples of Poisson slices include symplectic varieties called the universal centralizer Zg and hyperkähler slice G × Sτ , where Sτ ⊆ g is the Slodowy slice associated to τ . Balibanu has constructed a log symplectic partial compactification of the former, while G × Sτ has such a compactification if τ is a principal sl2 -triple. I will give a uniform approach to the partial compactification of Xτ in the case of a principal sl2 -triple τ . This represents joint work with Markus Röser. Peter Crooks Northeastern University I Schubert calculus via Lagrangian correspondences For a classical Lie group G with parabolic P, the cohomology of the partial flag variety G/P has a distinguished basis of so-called Schubert classes. A long-standing question in Schubert calculus is understanding (combinatorially) the structure constants for the multiplication of these classes, given by the pullback of the diagonal inclusion of G/P. A similar interesting question is understanding this Schubert basis under the pullback of the inclusion of H/Q into G/P, where H is a subgroup of G and Q is the corresponding parabolic of H. We study the case when G is GL(2n), H is Sp(2n), and P is a maximal parabolic. To answer this question, we upgrade the partial flag varieties to their cotan- gent bundles and work in the Maulik-Okounkov setup of Lagrangian correspondences between symplectic resolutions. This allows us to gain a geometric construction giving a combinatorial rule for computing the restriction of the Schubert classes. This talk is based on is joint work in progress with Allen Knutson and Paul Zinn-Justin. Iva Halacheva Northeastern University I A Generalized van Est map I will discuss the van Est map in the context of sheaves which are not necessarily the sheaf O in the smooth category; for example the sheaves O∗ , or O in the holomorphic category. Time permitting I will discuss another generalization of the van Est results to double groupoids. Joshua Lackman University of Toronto 15

5.5 Wednesday, 16 September | Session 5 I On two notions of a Gerbe over a stack Let G be a Lie groupoid. The category BG of principal G-bundles defines a differen- tiable stack. On the other hand, given a differentiable stack D, there exists a Lie groupoid H such that BH is isomorphic to D. Define a gerbe over a stack as a mor- phism of stacks F : D → C, such that F and the diagonal map ∆F : D → D ×C D are epimorphisms. In this talk we explore the relationship between a gerbe defined above and a Morita equivalence class of a Lie groupoid extension. This talk is based on our paper (j/w Saikat Chatterjee) titled “On two notions of a gerbe over a stack” (https://doi.org/10.1016/j.bulsci.2020.102886). Praphulla Koushik Indian Institute of Science Education and Research Thiruvananthapuram I Gelfand-Zeitlin via Ginzburg Weinstein In the talk, I will use a scaling tropical limit of the Ginzburg-Weinstein diffeomorphism u(n)∗ → U(n)∗ of Alekseev-Meinrenken to recover the Gelfand-Zeitlin integrable system of Guillemin-Sternberg of u(n)∗ and so(n)∗ . Yanpeng Li University of Geneva I Periodic orbits on tentacular hyperboloids Imagine a satellite in a gravitational field of a system of celestial bodies or an electric particle in an electro-magnetic field. The evolution of these physical systems can be described by Hamiltonian dynamics. However, even though the equations are known and the energy of the system is preserved, computing the exact trajectories might be often too complex. Even a simple question like that of existence of closed trajectories on a fixed energy level might be difficult to answer especially in case the energy level is non-compact. One effective approach to investigate the evolution of Hamiltonian systems in time is to apply techniques from symplectic geometry. One of these tools is the Rabinowitz Floer homology, which captures the relation between closed solutions of Hamilton’s equations with a fixed energy and the geometry of the corresponding energy hypersurface. In my talk I will explain how to employ the Rabinowitz Floer homology to find periodic orbits on tentacular hyperboloids. Jagna Wiśniewska ETH Zürich 16

I The topology of Bott integrable fluids The Euler equations describe the dynamics of an inviscid and incompressible fluid on a Riemannian manifold. In the context of stationary solutions, Arnold’s structure the- orem marked the birth of the modern field of Topological Hydrodynamics. This theo- rem provides an almost complete description of the rigid behavior of a solution whose Bernoulli function is analytic or Morse-Bott. However, very few examples of such fluids exist in the literature. We prove a realization and topological classification theorem for non-vanishing Eulerisable flows (steady solutions for some metric) with a Morse-Bott Bernoulli function. The proofs combine the geometry of the equation for a varying met- ric with the theory of Hamiltonian integrable systems. If we drop the non-vanishing assumption, we investigate how the topology of the ambient manifold can be an ob- struction to the existence of any Bott integrable fluid. Robert Cardona Universitat Politècnica de Catalunya, Barcelona 5.6 Wednesday, 16 September | Session 6 I The singular Weinstein conjecture In this talk, we study contact structures that admit certain types of singularities, called bm -contact structures. Those structures can be viewed as a particular case of Jacobi manifolds satisfying some transversality conditions. The motivation to study this gen- eralization of contact structures arises from classical examples in celestial mechanics, as for example the restricted planar circular three body problem (RPC3BP), but also appear in the study of fluid dynamics on manifolds with cylindrical ends. We will focus on understanding the dynamics of the associated Reeb vector field of bm -contact forms. Due to singularities, the dynamics are fundamentally different to smooth Reeb dynamics and we will discuss a singular version of Weinstein conjecture on the existence of periodic orbits on those manifolds. Time permitting, we talk about generic existence of so called singular periodic orbits. This is joint work with Eva Miranda and work in progress with Eva Miranda and Daniel Peralta-Salas. Cedric Oms Universitat Politècnica de Catalunya, Barcelona 17

I Group-valued momentum maps for diffeomorphism groups In mathematical physics, some conserved quantities have a discrete nature, for example because they have a topological origin. These conservation laws cannot be captured by the usual momentum map. I will present a generalized notion of a momentum map taking values in a Lie group, which is able to include discrete conversed quantities. It is inspired by the Lu-Weinstein momentum map for Poisson Lie group actions, but the groups involved do not necessarily have to be Poisson Lie groups. The most interesting applications include momentum maps for diffeomorphism groups which take values in groups of Cheeger-Simons differential characters. As an important example, I will show that the Teichmüller space with the Weil-Petersson symplectic form can be realized as symplectic orbit reduced space. Tobias Diez Delft University of Technology I The Cohomology of Courant algebroids and their characteristic classes Courant algebroids originated over 20 years ago motivated by constrained mechanics but now play an important role in Poisson geometry and related areas. Courant alge- broids have an associated cohomology, which is hard to describe concretely. Building on work of Keller and Waldmann, I will show an explicit description of the complex of a Courant algebroid where the differential satisfies a Cartan-type formula. This leads to a new viewpoint on connections and representations of Courant algebroids and allows us to define new invariants as secondary charcateristic classes, analogous to what Crainic and Fernandes did for Lie algebroids. This is joint work with R. Mehta. Miquel Cueca Georg-August-Universität Göttingen I Lie groupoids and logarithmic connections In this talk, I’ll describe a Lie groupoid based approach to the study of flat connec- tions with logarithmic singularities along a hypersurface. Flat connections on the affine line with a logarithmic singularity at the origin are equivalent to representations of a groupoid associated to the exponentiated action of C. I’ll describe a canonical Jordan- Chevalley decomposition for these representations and show how this leads to a func- torial classification. Flat connections on a general complex manifold with logarithmic singularities along a hypersurface are equivalent to representations of a twisted fun- damental groupoid. Using a Morita equivalence, whose construction is inspired by Deligne’s notion of paths with tangential basepoints, I prove a van Kampen type de- composition for this groupoid. I’ll explain how this can be used to prove a functorial Riemann-Hilbert correspondence for logarithmic flat connections. Francis Bischoff University of Oxford 18

6. Special Sessions 6.1 Special Professional Development Session Monday, 14 September, 19:15-19:45 GMT in the MAIN CONFERENCE ROOM. Strategic Outreach Planning for Mathematics Researchers The National Science Foundation (NSF) calls it ”broader impact”. Hiring committees call it ”service” or ”outreach”. Most academics are expected to do it. In this informative session, we’ll discuss: what exactly is it? Why would you do it? and how? Melinda Lanius University of Arizona 6.2 Colloquium Wednesday, 16 September, 15:00-16:00 GMT in the MAIN CONFERENCE ROOM. Integrable systems and group actions, a love story (soon on your screens) Do you want to integrate a differential equation? Is it the flow of a Hamiltonian vec- tor field on a Poisson manifold? Then connect on Wednesday September 16 at 15GMT via zoom. The usual suspects (Poisson, Liouville, Kovalevskaya, Lie and Arnold) will partially unveil a path but also unexpected characters (such as the physicist Albert Ein- stein and the astronomer, mathematician, and member of the French resistance Henri Mineur) will also have a say in this story. What starts as a love story soon gets full of suspense when local and semilocal models for integrable systems are discussed for symplectic and b-symplectic manifolds. Will these semilocal models remain valid for any Poisson manifold? What happens when singularities show up? Will Siméon Denis Poisson guide us through this journey? Plot of this zoom-colloquium is based mainly on the classical literature and part of it is based on joint work with the junior Poisson members: Robert Cardona, Anna Kiesenhofer, Anastasia Matveeva, Pau Mir, Arnau Planas and Geoffrey Scott (includ- ing arXiv:1502.03489, arXiv:1601.05041, arXiv:1606.02605, arXiv:2006.12477 and arXiv:2007.10314). Don’t miss it! Eva Miranda Universitat Politècnica de Catalunya, Barcelona 19

7. Networking Sessions We will trial a form of Academic Speed-Dating. • You come prepared to describe your research in 3 minutes or less. • We form random groups of 3 people, sorted into Zoom Breakout Rooms. • The first person in a group describes their research in 3 minutes and then we allow 2 minutes for a short Q&A session. After 5 minutes, it is the second person’s turn to do the same. After 10 minutes, it is the third person’s turn to do the same. • The organisers will broadcast in Zoom a reminder message every 5 minutes to help you keep track of the time. • After 15 minutes, we form new groups of 3 (randomly reshuffled into new Zoom Breakout Rooms) and start again. • Each such Networking Session is followed by a Social Time block, which the par- ticipants may want to use to continue the conversation. There will be two networking sessions at the following times: • Tuesday, 15 September, 19:15-19:45 GMT in the MAIN CONFERENCE ROOM • Wednesday, 16 September, 11:15-11:45 GMT in the MAIN CONFERENCE ROOM 20

8. Social Activities Every Social Time block, the organisers will host 3 separate activities. See the schedule below. Click on the activity’s name to see the description. Click on GAME ROOM number to be taken to the corresponding Zoom meeting. • Make sure you read the instructions for an activity before coming! • You will be distributed into Breakout Rooms randomly. • For some activities, it is very important to arrive on time! • If you want to organise another activity, you can create a Zoom Group Meeting and invite other participants through Slack. See the rest of this section for some ideas and how to make them work. GAME ROOM 1 GAME ROOM 2 GAME ROOM 3 SOCIAL ACTIVITY 1.1 SOCIAL ACTIVITY 1.2 SOCIAL ACTIVITY 1.3 Random Chats Pictionary Codenames 11:15-12:30 MONDAY EASY | NO SETUP EASY | NO SETUP MEDIUM | EASY SETUP | READ THE RULES SOCIAL ACTIVITY 2.1 SOCIAL ACTIVITY 2.2 SOCIAL ACTIVITY 2.3 Random Chats Scavenger Hunt Coup 19:45-21:00 EASY | NO SETUP EASY | NO SETUP MEDIUM | EASY SETUP | READ THE RULES SOCIAL ACTIVITY 3.1 SOCIAL ACTIVITY 3.2 SOCIAL ACTIVITY 3.3 Cards Against Humanity Mario Kart Coup 11:15-12:30 TUESDAY EASY | EASY SETUP | NSFW! MEDIUM | PRIOR SETUP REQUIRED MEDIUM | EASY SETUP | READ THE RULES SOCIAL ACTIVITY 4.1 SOCIAL ACTIVITY 4.2 SOCIAL ACTIVITY 4.3 Pictionary Mafia Codenames 19:45-21:00 EASY | NO SETUP HARD | SETUP REQUIRED | READ THE RULES MEDIUM | EASY SETUP | READ THE RULES SOCIAL ACTIVITY 3.1 SOCIAL ACTIVITY 3.2 SOCIAL ACTIVITY 3.3 WEDNESDAY Scavenger Hunt GIF and Meme challenge Mafia 11:45-13:00 EASY | NO SETUP EASY | NO SETUP HARD | SETUP REQUIRED | READ RULES SOCIAL ACTIVITY 4.1 SOCIAL ACTIVITY 4.2 SOCIAL ACTIVITY 4.3 Cocktail Party Cards Against Humanity Mario Kart 19:15-21:00 EASY | NO SETUP / BYOB EASY | EASY SETUP | NSFW! MEDIUM | PRIOR SETUP REQUIRED It is always best to arrive on time. However, every activity can be joined at any moment during the social time block if you don’t mind waiting to join a game and you don’t care too much about points. 21

8.1 Virtual Coffee & Tea Coffee and Tea Time happens on a drop-in basis in small groups through Slack. Steps: (1) Get your cup of tea, coffee, or whatever else you want to eat or drink. (2) Open Slack, #main channel. • If you see a group of people you’d like to join, join them! Max 7 per group Hover over user icons to see the names • Create your own group if all the groups are full or there are no groups. Just copy-paste this line into Slack: /zoom meeting Coffee and Tea You do not need a paid Zoom account to create groups. • Direct message another participant (or participants) and start a group Tips: (1) Keep groups at around 7 people max Larger groups usually become too large for everyone to participate fully and enjoyably (2) Keep your camera and microphone ON at all times Your video image recreates the sense of physical presence. If your microphone is muted, having to unmute yourself to say a word creates a barrier that stifles conversation. (3) You can switch to another group at any time: spend time with one group, leave and then join another. (4) To keep the conversation lively, you can try the Lifesavers on the next page. 22

8.2 Coffee & Tea Time Lifesavers Random Chats See next page for instructions. Mini Debates Sample topics: • Is mathematics discovered or invented? • Universal basic income. What are the pros and cons? • Social media has improved human communication. • The development of artificial intelligence will help humanity. • School should be in session year-round. • Homeschooling is better than traditional schooling. Emoji Stories Using less than six emojis, begin to write a story in an instant message thread or the chat section of a video call. Then, one by one, your group members will add to that story using five more. You can keep going until every teammate has had a turn, or until you run out of ideas. • To get the ball rolling, here’s a potential story starter: what happens next to the neighbourhood with no power during a storm? Arm’s Reach Show & Tell (1) Set a 1 minute timer for participants to find “something within arms reach that is meaningful to you.” (2) Each of your team members then has one minute to share about their object, including information like where they got it, and why they keep it. Exciting Sponge Exciting sponge is a quick and easy storytelling game. To play, each team member grabs a random object in arms length and creates a story about it, or can default to describing a generic sponge. The goal is to exaggerate the truth about what makes that object amazing. For example, if someone picked up an alarm clock, they could say “this is a relic from the past and someday Indiana Jones 2.0, AI edition, will travel back in time and snatch it up for a museum collection.” 23

8.3 Random Chats EASY | NO SETUP REQUIRED | GROUPS OF 4 − 10 (1) Use this random number generator to generate a random number between 1 and 60. (2) Read and answer the corresponding question from the list below. If you don’t like the question you got, you can pass and choose another question. You are allowed to pass only once during the session, so use this option wisely! (3) After your turn, nominate a person to be the next one to answer a random question. (4) Choosing the first player can be difficult, so here are some ideas you can use: • the person with the most years of academic experience goes first • the person who lives furthest East goes first • the person who lives in the smallest city goes first • the person who lives in the tallest building goes first (1) If you could travel anywhere in the world, where would (32) What is one thing you couldn’t live without? it be? (33) If you had to live in another country, which one would (2) If you could be a famous person for a week, who would you choose? you be and why? (34) What is your greatest talent or ability? (3) If you could have any superpower, which would you (35) What two items would you grab if your house was on choose? fire? (4) If you had one wish (and you can’t wish for more wishes), (36) If you could travel back in time, where would you go? what would you wish for and why? (37) What is something you want to learn how to do and why? (5) If you could eat just one food everyday for a month and (38) What would you do if you were a king or a queen? nothing else, what would it be? (39) If you were invisible for a day, what would you want to (6) If you could trade places with your parents for a day, what observe? would you do differently? (40) If you had the attention of the world for just 10 seconds, (7) If you could have one dream come true, what would it what would you say? be? (41) As a child, what did you want to be when you grew up? (8) If you could pick your own name, what would it be? (42) Do you love working from home or would you rather be (9) If you could be animal, what would you be and why? in the office? (10) Which character in a book best describes you and why? (43) How many cups of coffee or tea do you have each morn- (11) If you could be a famous person for a week, who would ing? you be and why? (44) If you could write a book, what genre would you write (12) If you could have any pet, what would you choose and it in? Mystery? Thriller? Romance? Historical fiction? why? Non-fiction? (13) What is your favourite childhood memory? (45) You have your own late night talk show, who do you in- (14) What is the nicest thing a friend has ever done for you? vite as your first guest? (15) What is your favourite movie and why? (46) If a movie was made of your life what genre would it be, (16) What is your favourite family tradition? who would play you? (17) What is your favourite sport to play? (47) If you were left on a deserted island with either your (18) If you could play any instrument, what would it be and worst enemy or no one, which would you choose? Why? why? (48) What was the worst style choice you ever made? (19) What is your favourite holiday and why? (49) What is one article of clothing that someone could wear (20) What is your favourite book and why? that would make you walk out on a date with them? (21) What has been the happiest day of your life so far and (50) If you could hang out with any cartoon character, who why? would you choose and why? (22) Where would you like to go on your next vacation? (51) What’s the best piece of advice you’ve ever been given? (23) What is one thing you could have done better today? (52) What is your favourite item you’ve bought this year? (24) What is the craziest thing you’ve ever eaten? (53) If you had to delete all but 3 apps from your smartphone, (25) What is your earliest memory? which ones would you keep? (26) What is your most embarrassing moment? (54) Are you a cat person or a dog person? (27) What is your least favourite chore? (55) What’s the most out-of-character thing you’ve ever done? (28) What is your most embarrassing moment? (56) If you could magically become fluent in any language, (29) What is your least favourite chore? what would it be? (30) If you could only eat three foods the rest of your life, what (57) Would you rather always be slightly late or super early? would they be? (58) Would you rather travel back in time to meet your ances- (31) If you could have dinner with anyone (past or present), tors or to the future to meet your descendants? who would it be and why? (59) If you could eliminate one thing from your daily routine, (32) If you could stay up all night, what would you do? what would it be and why? (33) What is the most beautiful place you have ever seen? (60) What is your most used emoji? 24

8.4 Pictionary EASY | NO SETUP REQUIRED | GROUP OF 6 − 10. (1) In Zoom, click Share screen (2) Select Whiteboard and then click on Share (3) Decide amongst yourselves who will be keeping track of time for everyone. You can use this Online Stopwatch. (4) Use this Random Word Generator (5) Use the annotation tools of the Zoom Whiteboard to start drawing. 8.5 Questions Only EASY | NO SETUP REQUIRED | GROUPS OF 4 − 7. This game requires on-the-spot thinking and improvisation and can be played directly in your Zoom meeting. The goal of the game is to converse only in questions that make sense depending on the context at hand. (1) Pick a judge who will be responsible for picking the next player and deciding when somebody makes a mistake. (2) If someone fails to come up with a question in the first 5 seconds then it is the next person’s turn. (3) The player that manages to cycle through all of his/her opponents wins the round. You can increase or decrease the time limit required to come up with a question to keep the game fun and interesting. 8.6 GIF and Meme Challenge EASY | EASY SETUP | GROUPS OF 4 − 10 | NSFW! (1) Go to funnysentences.com/sentence-generator (2) Create a shared Google Doc and copy the sentence you got from the funny sen- tence generator (3) Everyone has 45 seconds to find the most fitting GIF or meme. Doesn’t matter what you pick, just find something that (somehow) fits the description, and paste it in the Google Doc. Think of it as Cards Against Humanity, but with GIFs and memes. (4) After each round, everyone can comment and vote on their favourites 25

8.7 Cards Against Humanity EASY | EASY SETUP | GROUPS OF 4 − 7 | NSFW! (1) Go to allbad.cards (2) Create a new game; select the private game option. (3) Share the link to the players in your group so they can join you (4) When you are the Card Queen, read the card aloud, then click Start The Round. Once everyone plays, you will choose your favourite! (5) Each player has to have their own game window open (don’t share your screen). Use Zoom to read cards out loud and have fun laughing at each other’s answers. 8.8 Mario Kart MEDIUM | PRIOR SETUP REQUIRED | GROUPS OF 6 8 (1) Download the Mario Kart Tour App for Android or iOS (2) Create a Nintendo Account to play (3) To unlock the multiplayer option, you must complete the Mario Cup (4) Select Multiplayer at the bottom left of the screen (5) Create a room and share your room code with the others; or join a Room using a Room Code. (6) Use Zoom to communicate and see each other (7) Have fun! 26

8.9 Cocktail Party EASY | NO SETUP / BYOB Make your own quarantini! No specific rules! Just make your own cocktail or drink of choice and share the recipes, or just circle round the “tables” to say hi to your old friends or make new friends! Enjoy the last social activity of the conference! • Participants will be placed in Breakout Rooms of around 7 people. • Every participant is made a cohost so you will be able to move around from one Breakout Room to another. • You won’t be able to open new Breakout Rooms but if you feel that there are too many people in your current Breakout Room, you can agree to go to a quieter room choosing one of the already existing Breakout Rooms. 8.10 Scavenger Hunt EASY | NO SETUP REQUIRED | GROUPS OF 8 − 15 (1) All players must turn their webcams ON throughout the game. Every player who uses a portable device (laptop, tablet, mobile, etc) must leave the device in a fixed location throughout the game. (2) Create a Google sheet to keep track of your scores. (3) Choose who is going to be the first judge. (See point (4) in 8.3 for tips) (4) At the start of each round, every player must be touching their device (which stays fixed in the same location throughout the game, see step (1)). (5) The judge calls out the first item, starts the timer (45 seconds), and adds this item to the Google sheet. (6) Players rush to find this item in their house and bring it to their device to show it through the webcam before the timer runs out. (7) When the time runs out, all players must come back to their device regardless of whether or not they found the item or not. (8) The judge writes down the points won by each player, next to the item. (9) The first person to find the item becomes the judge for the next round. The judge gets to choose any item that might be in someone’s home. You can choose anything you like but if you run out of ideas, you can pick one of these items: 27

• Empty toilet paper roll • Blue shoes • Face mask • A sock with a hole • Shoebox • Something used to measure • A vegetable • Something that makes noise • Something with a heart • A dirty cup or bowl • Book with an integral sign in it • A neck tie • A toy • A stuffed animal • Cup with letters on it • A left slipper • Two items whose names rhyme • A cable that is neither white nor black • Winter gloves • A chopping board If your group wants to make the game more challenging, you can reduce the amount of time given to participants. Keeping Scores. The idea of the game is to see who can locate and bring the items the fastest. • The first player to reach their screen on time with the correct item wins 3 points. • The second player to reach their screen on time with the correct item wins 2 points. • Each player who finds the item within the time limit, but neither first nor second, receives 1 point. • All other players who did not find the item, or found the item after the time was up, receive 0 points. • If no player manages to locate the item within the time limit, the judge looses 3 points. • At the end of the game, the player with the highest score wins! 8.11 Codenames MEDIUM | EASY SETUP | READ RULES | GROUPS OF 6 − 8 (1) Go to https://codenames.game/ (2) Click on the CREATE ROOM button (3) Choose the language of the word cards and the “Codenames” word pack (4) Start the game (5) Share the room URL with your friends (6) To learn how to play, you can check the rules in text and video format. (7) Each person will have their own codenames screen open (don’t share your screen!) (8) Use Zoom to communicate to make the game more fun and interactive. The 28

Spymasters can give their clue out loud, as they would do around a real table. In this case, leave the clue box empty and click the “Give clue” button. In this case, the operatives should end their guessing manually when they hit the limit of allowed guesses. (9) Enjoy the game! 8.12 Coup MEDIUM | EASY SETUP | READ RULES | GROUPS OF 3 − 6 (1) Go to www.chickenkoup.com (2) Create a game and share your room code with your friends (3) The rules of the game are explained in the website; during gameplay, there is a helpful cheatsheet (4) Each player will have their game screen open (don’t share your screen!) (5) Use Zoom to communicate and make the game more interactive (6) Have fun! 8.13 Mafia HARD | SETUP REQUIRED | READ RULES | GROUPS OF 8 − 11 Hard, setup required, definitely read the rules first. Note: there is a maths paper on arXiv about this game: arXiv:math/0609534 Mafia is played in a round consisting of two phases: Day and Night. • The Day phase of the round is when the Townspeople are active and try to deduce the identities of the Mafia so that they can be killed and removed from the game. • The Night phase of the round is when the Mafia are active and try to kill the Townspeople. The game is over when all of the Mafia are killed or the number of Townspeople is equal to or less than the number of Mafia left in the game. Before the First Round1 • Choose a Narrator and make the narrator the host or co-host. The Narrator is the referee of Mafia and makes sure the game is played according to the simple rules and mechanics that govern the game. 1 This guide assumes that all players are not in the same physical location. If you are in the same place as another player, at least go to a separate room. 29

• Everyone playing Mafia should start with their cameras turned off and micro- phones muted. This will reduce the risk of a reaction when the Narrator assigns each player their role. • The Narrator should use the chat feature in Zoom to send a private message to everyone playing Mafia that tells them their role. It’s important that no player share or signify in any way the role assigned to them. You can use this Mafia random role generator to assign roles to participants. • Use the “Raise Hand” feature to determine the people who are still in the game. At this point, everyone (except the Narrator) should select “Raise Hand”. The way to do this varies based on the client you’re using to access Zoom, but it’s usually in the Participants List. This puts an icon of a hand next to their name in Zoom’s Participants List window. If people have joined the Zoom room just to watch the game, then the lack of a hand icon distinguishes them from the actual players. Roles There are four roles in the basic version of Mafia: 1. Townsperson: You’re a regular member of the town. Perhaps you’re a baker, mer- chant, or soldier. Your job is to save the town by eliminating the Mafia that have infil- trated your town and started killing your neighbours. Also, try to avoid getting killed yourself. 2. Mafia: During the day you seem to be a regular Townsperson. However, at night you are a very dangerous criminal. When the Narrator sends a private message assign- ing this role to you, you’ll also be told the other players who are also Mafia. How many Mafia should you have? It depends on the number of players: • 7-8 Players : 2 Mafia • 9-11 Players : 3 Mafia Keep in mind that if you have more than 2 Mafia, it will get tedious using Zoom’s built- in chat feature because that only allows 1:1 communication. It would be best to move the Mafia into a separate messaging tool. 3. Sheriff: You’re a Townsperson with the unique ability to peer into a person’s soul and see their true nature. During the night, you’ll get a chance to see if another Townsperson is a member of the Mafia. However, use this information wisely because it can lead to you being targeted by the Mafia the next night if they deduce your identity. There is one Sheriff per group. 4. Doctor: You’re a Townsperson with the unique ability to save lives. During the night, you’ll get a chance to protect another Townsperson from death if they are attacked by the Mafia. You can choose to protect yourself. There is one Doctor per group. Note: Depending on the number of people playing, the Narrator may elect to assign 30

the roles of Mafia, Sheriff, and Doctor, and tell everyone else, “Unless I’ve told you otherwise, you’re a Townsperson”. The First Round • Day The first round starts with the Day phase. Everyone has their camera on in Zoom and the people playing Mafia have the icon of a hand next to their name in the Participants list. Optionally, the Narrator can ask the players to introduce themselves. Ideally, the people playing Mafia will have fun and say something like, “Hi, I’m Peter, and I’ve run the butcher shop in the middle of town for ten years. We’re having a special today, two steaks for the price of one!” No one should disclose if they have the role of Mafia, Sheriff, or Doctor at this point in the game. The Narrator should make sure everyone understands how to do the following actions in Zoom: • Send a chat message to one other participant (the default is to send to everyone); you can do this by having everyone send an individual message to the Narrator (the Narrator should confirm that they received an individual message from all of the other players) • Turn your camera on and off • Mute and unmute your microphone • Lower and raise your hand in the Participants list Once everyone has confirmed that they know how to perform these actions in Zoom, the first Day phase is over. • Night Only the Narrator can speak at night. All other communication is done using the private messaging feature in Zoom. The Narrator may choose to instantly kill and remove from the game players who repeatedly violate this rule. The Narrator announces the start of the first night phase by saying, “Townspeople, go to sleep”. Everyone playing the game (except the Narrator) should turn off their camera and mute their mics in Zoom. This reduces the chance that some movement or facial expression will betray a player’s role. The Narrator can confirm that all players have their cameras off by looking at the Participants List in Zoom. Everyone with the hand icon next to their name should also have the “camera off” icon next to their name. The Narrator prompts the Mafia for their actions by saying, “Mafia, who do you to kill?” The players with the Mafia role should confer over private message with each other 31

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