שלחו לחבר

Finite-dimensional representations of quantum affine algebras

Seminar
Speaker
Dr. Jianrong Li (Weizmann Institute of Science)
Date
30/11/2016 - 11:30 - 10:30
Place
Third floor seminar room
Abstract

In this talk, I will discuss finite dimensional representations of quantum affine algebras. The main topics are Chari and Presslay's classification of finite-dimensional simple modules over quantum affine algebras, Frenkel and Reshetikhin's theory of q-characters of finite dimensional modules, Frenkel-Mukhin algorithm to compute q-characters, T-systems, Hernandez-Leclerc's conjecture about the cluster algebra structure on the ring of a subcategory of the category of all finite dimensional representations of a quantum affine algebra. I will also talk about how to obtain a class of simple modules called minimal affinizations of types A, B using mutations (joint work with Bing Duan, Yanfeng Luo, Qianqian Zhang).

תאריך עדכון אחרון : 16/11/2016