报告题目：Extending Hecke endomorphism algebras using exact categories

报 告 人：LeonardScott (McConnell Bernard Professor Emeritus, University of Virginia)

报告时间：2019年7月13日16:30-17:20

报告地点：数学楼第一报告厅

Abstract:

Thistalk is based on a series of published papers, and also a current preliminarymanuscript, all written with Jie Du and Brian Parshall. (The manuscriptincludes also an appendix by Veronica Shalotenko.) I will give some of thehistory and framework leading to a main conjecture we had made much earlier (1998),now proved by us. Roughly, theconjecture asserts the existence andgood behavior of a kind of extendedq-Schur algebra, suitable for studying cross-characteristic representationtheory of finite groups of Lie type. In addition to the framework, I will focus on some of the ingredients of ageneral nature in the proof, an especially novel such ingredient being thedesign of tailor-made exact categories to deal with Ext1 vanishing issues.

报告人简介：

LeonardScott (McConnell Bernard Professor Emeritus, University of Virginia)在Compos. Math.，Adv. Math.，Trans. Amer. Math. Soc.，Comm. Math. Phys.，J. Reine Angew. Math.等杂志上发表高水平杂志100余篇，被引用1500余次。