Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis
Organizers:
Yuval Peres, Artan Sheshmani, Hossein Yavartanoo
Speaker:
Nicolai Reshetikhin (YMSC & BIMSA)
Time:
Monday, 17:00-17:45
April 29, 2024
Venue:
A6-1
Online:
Zoom: 388 528 9728
Password: BIMSA
Title:
Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis
Abstract:
This talk is an overview of some of the research directions that I am currently interested in. We will start with basic notions. The notion of an integrable system is clearly defined in the Hamiltonian mechanics, it extends naturally to quantum systems and to models of statistical mechanics where the transfer matrix is considered as a quantum evolution. After this introduction I will focus on some examples that clearly illustrate the relation between integrable systems and representation theory. If time permit, I will also mention another research direction which is very important for quantum field theory but is not a part of the "world of integrable systems". It is the quantization of gauge theories.
--
FROM 202.120.11.*