Krichever Center Seminar on Mondays / Fall2023


Igor Krichever Center for Advanced Studies
Seminar on Mondays at 17.00

(30 Bolshoy Boulevard, space E-B1-2016) [ + zoom ]
September 11, 2023 / Vadim Vologodsky (HSE Univ.)
= = Arithmetic of the Knizhnik-Zamolodchikov equation
September 25, 2023 / Evgeny Anikin (Russian Quantum Center)
= = Entangling gate fidelities in trapped ion quantum computers: perturbative calculations
October 2, 2023 / Michael Finkelberg (Skoltech, HSE Univ., IITP)
= = Cherkis-Nakajima-Takayama bow varieties
October 9, 2023 / zoom / Andrey Losev (Univ. of Science and Technology of China, HSE Univ.)
= = On beta-functions in first order theories
October 23, 2023 / Aleksandr Artemev (Skoltech, Landau Inst.)
= = (2,2p+1) minimal string, moduli space volumes, and classical Liouville theory
October 30, 2023 / Anton Il’yn (Lebedev Inst., HSE Univ.)
= = Geometry of isotropic stochastic flows
November 13, 2023 / Filipp Uvarov (HSE Univ.)
= = Deligne’s category, monodromy-free pseudo-differential operators, and Gaudin model associated with the super Lie algebra gl(m|n) (1/2)
November 20, 2023 / Alexander Belalvin (Landau Inst.)
= = Mirror symmetry and a new approach to constructing orbifolds of Gepner models
November 27, 2023 / Filipp Uvarov (HSE Univ.)
= = Deligne’s category, monodromy-free pseudo-differential operators, and Gaudin model associated with the super Lie algebra gl(m|n) (2/2)

[ link to access the Seminar zoom 87174887962, ID: 871 7488 7962, Passcode: 1 ]

Seminar dedicated
to the memory of
Igor Krichever

December 4, 2023
Michel Semenov-Tian-Shansky
(Univ. of Burgundy, Steklov Inst., St.Petersburg)
Poisson-Lie groups: duality and applications


December 11, 2023


December 18, 2023
Yu Li
(Univ. of Toronto)
Integrable systems on the dual of nilpotent Lie subalgebras and $T$-Poisson cluster structures

Let $\mathfrak g$ be a semisimple Lie algebra and $\mathfrak g = \mathfrak n \oplus \mathfrak h \oplus \mathfrak n_-$ a triangular decomposition. Motivated by a construction of Kostant-Lipsman-Wolf, we construct an integrable system on the dual space of $\mathfrak n_-$ equipped with the Kirillov-Kostant Poisson structure. The Bott-Samelson coordinates on the open Bruhat cell (equipped with the standard Poisson structure) makes it into a symmetric Poisson CGL extension, hence giving rise to a $T$-Poisson cluster structure on it. Our integrable system is obtained from the initial cluster by taking the lowest degree terms of the initial cluster variables. We conjecture that mutation of clusters gives rise to mutation of integrable systems. This is joint work in progress with Yanpeng Li and Jiang-Hua Lu


December 25, 2023


arXiv