Geometric asymptotic of the tensor-product multiplicities for the symmetric groups $S_N$ when $N \to \infty$

Speaker: Nicolai Reshetikhin

Abstract: The talk will start with an overview of some classical results for the symmetric group $S_N$ when $N\to \infty$. Then we will focus on multiplicities of an irreducible $S_N$-module in the tensor product of two irreducibles and will study the asymptotic of these multiplicities in the limit $N\to\infty$.

Time: 14:00, April 03, 2026

Location: 18F Conference Hall


About speaker: Nicolai Reshetikhin is a famous mathematical physicist, currently a professor at YMSC and BIMSA, also professor emeritus at Berkeley Department of Mathematics. His research is at the interface of mathematical physics, geometry and representation theory, more specifically in quantum field theory, statistical mechanics, geometry and low-dimensional topology, and representation theory of quantum groups. Some of his most important contributions are in the theory of quantum integrable systems, in representation theory of quantum groups and in quantum topology. This includes his works on quantum inverse scattering method (including results with Faddeev and Takhtadzhyan) and his works with Turaev on mathematical formulation of quantum invariants in three-dimensional topology (related to Chern-Simons theory) and many more.

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