题目：An Exact Category Approach to Hecke Endomorphism Algebras

报告人：Prof. Jie Du （University of New South Wales）

时间：2024年1月23日 星期二 16:00-17:00

地点：致远楼108室

摘要：Hecke endomorphism algebras are a natural generalization of q-Schur algebras associated with symmetric groups to arbitrary Coxeter groups. These algebras attract much attention for many years. For example, B. Parshall, L. Scott and the speaker (DPS) investigated some stratification structure of those associated with finite groups of Lie type over twenty-years ago and proposed a conjecture about a standard stratification. These algebras played an important role in Williamson’s singular Soergel bimodule theory. More recently, H. Bao and W. Wang investigated a new type of the Schur-Weyl duality that involves i-quantum groups and Hecke endomorphism algebras of other classical types.

I will talk about the DPS conjecture (now a theorem) and discuss a new approach to get it resolved. I will also mention applications to decomposition matrices for finite groups of Lie type in cross characteristic and to i-quantum groups.

This is joint work with B. Parshall and L. Scott.

欢迎各位参加！