报告人：Jie Du 教授

        University of New South Wales

题目：Quantum linear supergroups and the Mullineux conjecture

时间：2018年6月28日下午15:30

地点：海韵实验楼108

摘要：The Mullineux conjecture is about computing the p-regular partition associated with the tensor product of an irreducible representation of a symmetric group with the sign representation. Since being formulated in 1979, the conjecture attracted a lot of attention and was not settled until 1997 when B. Ford and A. Kleshchev first proved it in a paper over a hundred pages.  The proof was soon been shorten and, at the same time, its quantum version was also settled. The main ingredient of the proof is the modular branching rules.

In 2003, J. Brundan and J. Kujawa discovered a proof using naturally representations of the general linear supergroup. I am going to talk about how to use the quantum linear supergroup to resolve the quantum Mullineux conjecture. This is joint work with Yanan Lin and Zhongguo Zhou.

报告人简介：Jie Du is a Professor in the School of Mathematics, University of New Wales, Australia. His interests lie in the representation theories on algebraic and quantum groups, finite groups of Lie type, finite dimensional algebras, and related topics. His recent work has concentrated mainly on the Ringel-Hall approach to quantum groups and q-Schur and generalized q-Schur algebras and their associated monomial and canonical basis theory.

联系人：陈健敏副教授

欢迎广大师生参加！