Abstract:

First part of the talk is introduction to Hamiltonian integrability. In the second part of the talk their quantum counterparts will be introduced with some examples. Important class of examples is related to moduli spaces of connections over surfaces.

About Speaker:

Nicolai Yuryevich Reshetikhin is a mathematical physicist at Yau Mathematical Sciences Center, Tsinghua University. His research is in the fields of low-dimensional topology, representation theory, and quantum groups. His major contributions are in the theory of quantum integrable systems, in representation theory of quantum groups and in quantum topology. He and Vladimir Turaev constructed invariants of 3-manifolds which are expected to describe quantum Chern-Simons field theory introduced by Edward Witten.
He earned his bachelor's degree and master's degree from Leningrad State University in 1982, and his Ph.D. from the Steklov Mathematical Institute in 1984.
He gave a plenary lecture at the International Congress of Mathematicians in 2010. He was named a Fellow of the American Mathematical Society, in the 2022 class of fellows, "for contributions to the theory of quantum groups, integrable systems, topology, and quantum physics".