题目：Stratifying Hecke Endomorphism Algebras

报告人：杜杰（新南威尔士大学教授）

时间： 2016年11月30日 14:30-15:30

地点：致远楼107室

摘要：

Hecke endomorphism algebras are a natural generalisation of q-Schur algebras associated with symmetric groups to arbitrary Coxeter groups. These algebras attract a worldwide attention for many years. For example, B. Parshall, L. Scott and the speaker (DPS) investigated some stratification structure of those associated with Weyl groups twenty-years ago with a motivation of applying them to representations of finite groups of Lie type. Recently, these algebras play an important role in Williamson’s singular bimodule theory, while H. Bao, J. Kujawa, Y. Li and W. Wang investigated a type of Schur-Weyl duality involving Hecke endomorphism algebras of type B,C, or D. In this talk, I will talk about a DPS conjecture and discuss a new approach to get is resolved. In particular, I will explain how exact categories are used in this approach.

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