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January 25, 2021 / Alexander Bobenko (Inst. Mathematik, TU Berlin) = = On a discretization of confocal quadrics: Geometric parametrizations, integrable systems and incircular nets February 1, 2021 / Andrei Smilga (Subatech, Univ. de Nantes) = = Group manifolds and homogeneous spaces with HKT geometry: the role of automorphisms February 8, 2021 / Sergey Cherkis (Univ. of Arizona) = = Instantons and bow varieties, I February 15, 2021 Sergei Korotkikh (MIT) = = Vertex models and (non)symmetric functions February 22, 2021 / Sergei Lukyanov (Rutgers Univ., Kharkevich Inst.) = = Density of states for the (Euclidean) black hole NLSM March 1, 2021 / Andrey Gelash (Skoltech, Inst. of Automation and Electrometry, Novosibirsk) = = Spontaneous modulation instability and exact multi-soliton solutions of the nonlinear Schrodinger equation March 8, 2021 / Sergey Cherkis (Univ. of Arizona) = = Instantons and bow varieties, II March 15, 2021 / Vladlen Timorin (HSE Univ.) = = The Mandelbrot set and its topological models March 22, 2021 / Alexei Glutsyuk (ENS de Lyon, HSE Univ.) = = Dynamical systems on torus modeling the dynamics of Josephson junction, isomonodromic deformations, and Painlevé 3 equation March 29, 2021 / Alexander Tsymbaliuk (Purdue Univ.) = = Shifted Yangians and quantum affine algebras April 5, 2021 / Vadim Prokofev (Skoltech, MIPT) = = Integrable hierarchies of nonlinear differential equations and many body systems. Elliptic case |
April 12, 2021
Shamil Shakirov (Univ. of Geneva)
Quantum DELL system and around
It has been long expected that trigonometric Ruijsenaars-Schneider integrable system should admit a generalization elliptic both in coordinates and in momenta, the so-called double elliptic system or DELL for short. In this talk we review the recent development of 1906.10354 by P.Koroteev and the speaker, where a candidate for such a system has been put forward. An advantage of this proposal is that it is fully explicit at quantum level, i.e. formulated as a set of commuting difference operators. We cover the basic properties of the resulting system and its eigenfunctions, comment on relation to the previous proposals for DELL, and discuss relation to other double-elliptic constructions in mathematical physics
April 19, 2021
Andrei Grekov (Stony Brook Univ.)
TBA
April 26, 2021
Taras Panov (Moscow State Univ., Kharkevich Inst.)
Complex geometry of manifolds with torus action