报告题目 (Title)：量子环面代数的表示I（Representation of quantum toroidal algebras I）
报告人 (Speaker)：Evgeny Mukhin 教授（美国印第安纳大学印第安纳波利斯分校）
报告时间 (Time)：2024年8月30日 (周五) 10:00-11:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：张红莲 教授
主办部门：永利数学系
报告摘要：The representations of quantum toroidal algebras appear in geometry, topology, and integrable systems. This fascinating representation theory has been extensively studied in the last decade by many mathematicians and physicists. While we still understand very little, it is known that there is a class of highest weight representations of quantum toroidal algebras of type A with a beautiful combinatorial description in terms of plane partitions with various boundary conditions. In this talk, I will try to present a gentle introduction to the quantum toroidal algebras and their representation theory. For the purposes of this talk I will use q-characters as the main tool.
