A modern approach to representations of finite reductive groups

• 主讲人：Olivier Dudas (Aix-Marseille University)
• 举办方： Sino-Russian Mathematics Center
• 时间： 2024-11-13 20:00 - 2024-11-13 21:30
• 地点： Online

 

Time：8.00pm - 9.30pm（Beijing time）

           4th (Mon.)，13th (Wed.) and 15th (Fri.)，November，2024     

 

Venue: 

No.	Date	Zoom ID	Password
1	4th (Mon.), Nov.	852 2905 1983	282362
2	13th (Wed.), Nov.	869 1811 5961	278589
3	15th (Fri.),  Nov.	823 9589 0348	853953

 

Summary: The purpose of this series of lectures is to present recent results on the representation theory of finite reductive groups using constructions from the geometry and from higher categories. Replacing representations by local systems, one obtains a broad range of techniques coming from sheaves on topological spaces to work with representations, including the usual induction and restriction but also their geometric generalisation due to Deligne--Lusztig and Lusztig. We will also explain how these methods give rise to a category of representations which is generic, hence fulfilling Broué's dream to study representations of GLn(x) where x is an indeterminate.