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数学学院、所2019年系列学术活动(第124场):Leonard Scott (McConnell/Bernard Professor Emeritus, University of Virginia)

发表于: 2019-07-11 16:37  点击:

报告题目:Extending Hecke endomorphism algebras using exact categories

报 告 人:Leonard Scott (McConnell/Bernard Professor Emeritus, University of Virginia)

报告时间:201971316:30-17:20

报告地点:数学楼第一报告厅

Abstract:

This talk is based on a series of published papers, and also a current preliminary manuscript, all written with Jie Du and Brian Parshall. (The manuscript includes also an appendix by Veronica Shalotenko.) I will give some of the history and framework leading to a main conjecture we had made much earlier (1998), now proved by us. Roughly, the conjecture asserts the existence and good behavior of a kind of extended q-Schur algebra, suitable for studying cross-characteristic representation theory of finite groups of Lie type. In addition to the framework, I will focus on some of the ingredients of a general nature in the proof, an especially novel such ingredient being the design of tailor-made exact categories to deal with Ext1 vanishing issues.

报告人简介:

Leonard Scott (McConnell/Bernard Professor Emeritus, University of Virginia) 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。