Programme
Presentations:
Monday
Monday
Mikhail Bershtein, Twisted representations of toroidal algebra from DAHA
Alexey Litvinov, Affine Yangians and integrable structures in conformal field theories
Andrey Mudrov, Generalized parabolic categories over quantum conjugacy classes of finite order
Dimitri Gurevich, Quantum doubles and q-cut-and-join formula
Georgy Sharygin, Operations on universal enveloping algebra and the "argument shift" method}
Olga Postnova, Tensor powers of vector representation of $u_q(sl_2)$ at even root of unity}
Tuesday
Oleg Zaboronski, Hecke algebra and duality
Anton Nazarov, Skew Howe duality and limit shape of Young diagrams
Anastasiia Trofimova, Current statistics in Asymmetric Avalanche Process
Daria Shabetnik, $T\bar{T}$- and long-range deformations of lattice models
Khaydar Nurligareev, Watermelon correlation functions near the boundary in the Spanning Trees Model
Nikolai Kuchumov, A variational principle for domino tilings of multiply-connected domains
Wednesday
Anton Shchechkin, Folding transformations for q-Painlevé equations
Vladimir Roubtsov, Monodromies of confluent Painlevé systems, Their quantization, and Calabi-Yau 3-algebras
Vitaly Tarasov, (gl_k,gl_n) duality for integrable models. Grassmann case.
Dmitry Talalaev, Weighted graphs and discrete geometry
Thursday
Sergei Lukyanov, Generalized affine sl(2) Gaudin model
Andrei Zotov, Manakov triple for double elliptic integrable system
Vsevolod Adler, Painlevé type reductions in the non-Abelian Toda lattice
Alexander Mikhailov, Quantisation of Nonabelian Dynamical Systems. Quantisation Ideals
Evgeny Sobko, $SU(N)$ Principal Chiral Model at Large N and the glimpse of a new String Theory
Mikhail Alfimov, Normal form of beta-function for $D=2$ sigma-models
Vadim Prokofev, Integrable hierarchies of nonlinear differential equations and many-body systems
Mikhail Vasilyev, Quantum-Classical dualities for Gaudin magnets with diagonal boundary conditions
Irina Bobrova, On matrix Painlevé-4 equations
Margarita Preobrazhenskaia, Group extensions and the parametric Yang-Baxter equation
Friday
Michael Gekhtman, Generalized cluster structures and periodic difference operators
Michael Shapiro, Noncommutative cluster integrability
Sergei Lando, Combinatorics of real normalized differentials
Alexey Basalaev, Integrable hierarchies associated to infinite families of Frobenius manifolds
Alexander Shapiro, Cluster realization of spherical DAHA
Čestmír Burdík, Nested Bethe Ansatz and trace formula for RTT–algebra of sp(4) type
Ivan Sechin, Quadratic algebras based on SL(NM) elliptic quantum R-matrices