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A seminar for joint Russian-Chinese program
On the asymptotic behavior of Kronecker symbols when $N\to \infty$
On the asymptotic behavior of Kronecker symbols when $N\to \infty$
Organizers
Valery Gritsenko
,
Nicolai Reshetikhin
Speaker
Time
Tuesday, February 24, 2026 7:00 PM - 8:00 PM
Venue
Online
Online
477 998 7196
(566285)
Abstract
Kronecker symbols are multiplicities in which irreducible modules of the permutation group $S_N$ occur in the tensor product of two such irreducible representations. We will compute the asymptotic of these multiplicities when $N\to \infty$ and corresponding Young diagrams have fixed width. The main instrument is the Schur-Weyl duality and geometric
asymptotics of multiplicity spaces for $SU(n)$. This is a joint work with O. Postnova.
Speaker Intro
Professor Nicolai Reshetikhin was born in Leningrad, former Soviet Union, now St. Petersburg, Russia. In 1982, he graduated from Leningrad State University with a bachelor's degree and a master's degree. In 1984, he graduated from the Steklov Institute of Mathematics and obtained a PhD degree. He has taught at well-known universities such as Harvard University, the University of California, Berkeley and the University of Amsterdam. He was invited twice to give a talk at the ICM International Conference of Mathematicians, one of which was a plenary talk. Professor Reshetikhin's main research interests include quantum topology, quantum groups and their representations, classical and quantum integrable systems, and integrable models statistical mechanics. He is one of the founders of quantum group theory, one of the authors of Reshetikhin-Turaev invariant, has important results in the theory of quantum integrable system, in Poisson and symplectic geometry, in the theory of quantum Kac Moody algebra. In 2010, he was elected as a Foreign member of the Royal Danish Academy. In 2021, he became a Fellow of the American Mathematical Society.