Krichever Center Seminar on Mondays / Spring2024


Igor Krichever Center for Advanced Studies
Seminar on Mondays at 17.00

(30 Bolshoy Boulevard, space E-B1-2016) [ + zoom ]
January 29, 2024 / Grigori Olshanskii (Skoltech, Kharkevich Inst., HSE Univ.)
= = Infinite-dimensional groups over finite fields: results and problems
February 5, 2024 / Nikita Belousov (Steklov Inst., St.Petersburg)
= = Quantum hyperbolic Ruijsenaars system
February 12, 2024 / Anton Dzhamay (BIMSA, Univ. of Northern Colorado)
= = Geometry of discrete integrable systems: QRT maps and discrete Painlevé
February 19, 2024 / Anton Shchechkin (INFN & SISSA, Trieste)
= = Blowup relations on irregular conformal blocks as quantum Painleve equations
February 26, 2024 / Kirill Polovnikov (Skoltech Center for AI Tech.)
= = Hamiltonian of fractal Gaussian polymer states
March 4, 2024 / Sergei Kuksin (Univ. Paris Cit ́e and Sorbonne Univ., RUDN Univ., Steklov Inst.)
= = The Kolmogorov theory K41 and turbulence in 1d Burgers equation
March 11, 2024 / Vsevolod Gubarev (Novosibirsk Univ., Sobolev Inst. of Mathematics)
= = Rota—Baxter operators and different versions of Yang-Baxter equation
March 18, 2024 / Alexey Litvinov (Skoltech, Landau Inst.)
= = Yang-Baxter deformations of sigma models and integrable systems in conformal field theory
March 25, 2024 / Christopher Brav (Centre of Pure Mathematics, MIPT)
= = Solid modules in algebraic geometry
April 1, 2024 / Ruotao Yang (Skoltech)
= = On the Gaiotto conjecture
April 8, 2024 / Sergey Gorchinskiy (Steklov Inst.)
= = Polar homology

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

April 15, 2024
Kantemir Atalikov
(Kurchatov Inst.)
Integrable Landau-Lifshitz equations and field-theoretical generalizations of many-body systems

We will describe construction of the Landau-Lifshitz equation of higher rank. Namely, we will show how the U-V pair satisfying the Zakharov-Shabat equation arises from a solution of the associative Yang-Baxter equation. This will be used for derivation of equations of motion. In some particular case the Hamiltonian formulation will be given as well. Next, the 1+1 field generalization of the Calogero-Moser model will be reviewed. We will explain that this model is gauge equivalent to some particular Landau-Lifshitz model


arXiv