**Slides are also available on Google Drive**

### Monday 12 August 2019

8:45 - 9:15 | Registration |

9:15 - 9.20 | Welcome address |

Chair: Giovanni Felder |

9.20 - 10.20 | Ivan Cherednik | Refined Rogers-Ramanujan sums and DAHA invariants of Hopf links |

Coffee |

10.45 - 11.45 | Alexander Givental | GW-invariants: from ordinary to extra-ordinary |

12.00 - 13.00 | Askold Khovanskii | Good Compactification Theorem and the Ring of Conditions of \(\) (Slides) |

Lunch |

Chair: Alexander Veselov |

14.30 - 15.30 | Sabir Gusein-Zade | On a version of the Berglund-Hübsch-Henningson duality with non-abelian symmetry groups |

15.45 - 16.45 | Eric Rains | Noncommutative geometry and special functions (Slides) |

17.00 - 17:30 | Akane Nakamura | Recovering linear from nonlinear (Slides) |

17:30 - 18:00 | Andras Lorincz | Equivariant $\mathcal D$-modules on varieties with finitely many orbits (Slides) |

18.00 - 19.00 | Reception |

### Tuesday 13 August 2019

Chair: Evgeny Mukhin |

8.45 - 9.45 | Andrei Okounkov | Monodromy and derived equivalences |

Coffee |

10.15 - 11.15 | Vera Serganova | The Jacobson-Morozov theorem for Lie superalgebras and semisimplification functors |

11.30 - 12.30 | Maxim Nazarov | Representations of Yangians via Howe duality (Slides) |

Lunch |

Chair: Oleksandr Tsymbaliuk |

14.00 - 14.30 | Shifra Reif | Grothendieck rings for periplectic Lie superalgebras |

14.30 - 15.00 | Sigiswald Barbier | The blocks of the periplectic Brauer algebra (Slides) |

15.15 - 15.45 | Laszlo Feher | Reduction of a bi-Hamiltonian hierarchy on $T^∗U(n)$ to spin Ruijsenaars--Sutherland models (Slides) |

15.45 - 16.15 | Ana Agore | Equivalences of (co)module algebra structures over Hopf algebras (Slides) |

Coffee |

16.45 - 17.00 | Kang Lu | On the $\mathfrak{gl}(1|1)$ supersymmetric XXX spin chains |

17.00 - 17.15 | Alexei Ilin | Bethe subalgebras in Yangians (Slides) |

17.15 - 17.30 | Claudia Rella | Motivic Scattering Amplitudes (Slides) |

17.30 - 17.45 | Marijana Butorac | Quasi-particle bases of principal subspaces of representations of affine Lie algebras (Slides) |

### Wednesday 14 August 2019

Chair: Igor Krichever |

8.45 - 9.45 | Vadim Schechtman | Stochastic matrices, polyhedra, and configuration spaces |

Coffee |

10.15 - 11.15 | Richard Rimanyi | Schubert calculus in equivariant elliptic cohomology |

11.30 - 12.30 | Tomoyuki Arakawa | 4D/2D duality and Moore-Tachikawa symplectic varieties |

Lunch |

Chair: Charles Young |

14.00 - 14.30 | Natasha Rozhkovskaya | Vertex operators presentation of generalized Hall-Littlewood polynomials (Slides) |

14.30 - 15.00 | Tanmay Deshpande | A Verlinde formula for twisted conformal blocks (Slides) |

15.15 - 15.45 | Jian-Rong Li | Quantum affine algebras and Grassmannians (Slides) |

15.45 - 16.15 | Rekha Biswal | Demazure multiplicities of excellent filtrations in higher rank and cone theta functions (Slides) |

Coffee |

16.45 - 17.00 | Nikolay Grantcharov | Extension quiver for Lie superalgebra $\mathfrak{q}(3)$ (Slides) |

17.00 - 17.15 | Chenliang Huang | The solutions of $\mathfrak{gl}(m|n)$ Bethe ansatz equation and rational pseudodifferential operators (Slides) |

17.15 - 17.30 | Veronica Pedic | On fusion rules for the Weyl vertex algebra modules (Slides) |

17.30 - 17.45 | Luan Bezerra | Quantum toroidal superalgebras associated with $\mathfrak{gl}_{m|n}$ (Slides) |

19.00 | Conference Dinner |

### Thursday 15 August 2019

Chair: Maxim Nazarov |

8.45 - 9.45 | Igor Krichever | The Bethe ansatz equations and integrable system of particles (Slides) |

Coffee |

10.15 - 11.15 | Alexander Veselov | On integrability, geometrization and knots (Slides) |

11.30 - 12.30 | Nikolai Reshetikhin | Superintegrable systems of Calogero-Moser type on moduli spaces of flat connections (Slides) |

Lunch |

Chair: Shifra Reif |

14.00 - 14.30 | Charles Young | Affine Gaudin models and hypergeometric integrals of motion (Slides) |

14.30 - 15.00 | Hitoshi Konno | Elliptic Quantum Groups and Deformed W-algebras |

15.15 - 15.45 | Libor Snobl | Superintegrability in the presence of magnetic fields (Slides) |

15.45 - 16.15 | Pablo Zadunaisky | Gelfand-Tsetlin presentations and Schubert Calculus |

Coffee |

16.45 - 17.00 | Filipp Uvarov | Duality for Bethe algebras acting on polynomials in anticommuting variables (Slides) |

17.00 - 17.15 | Guilherme Almeida | Differential Geometry of Orbit space of Extended Jacobi Group $A_n$ (Slides) |

17.15 - 17.30 | Ilija Buric | Superconformal blocks and Calogero-Moser systems (Slides) |

17.30 - 17.45 | Zhipeng Lu | Flatness of the commutator map on $\mathrm{SL}_n$ (Slides) |

17.45 - 18.00 | Nikita Nikolaev | Abelianisation of $\mathrm{SL}(2)$-Connections and the Hitchin System (Slides) |

### Friday 16 August 2019

Chair: Pavel Etingof |

8:45-9:15 | Oleksandr Tsymbaliuk | Integrable systems via shifted quantum groups (Slides) |

9:15-9:45 | Gabriele Rembado | Quantisation of isomonodromy connections |

Coffee |

10.15 - 11.15 | Vitaly Tarasov | Norms of Bethe vectors via the Wronski map |

11.30 - 12.30 | Alexander Varchenko | Equivariant quantum differential equation, Stokes bases, and K-theory of a projective space |