Character sheaves on algebraic groups

Abstract: Character sheaves on an algebraic group are supposed to be the geometric analogues of irreducible characters of a finite group. In 1980s Lusztig developed the theory of character sheaves on reductive groups and gave a geometric description of the character theory of finite reductive groups. Inspired by Lusztig’s works, Boyarchenko and Drinfeld developed the theory of character sheaves on unipotent groups. In this talk, I will describe an approach (due to Drinfeld) towards a theory of character sheaves on general algebraic groups and describe the known results in the case of solvable algebraic groups.

representation theory

Audience: researchers in the topic

MIT Lie groups seminar

Series comments: Description: Research seminar on Lie groups

This seminar will take place entirely online: Zoom Meeting Link. You should be able to watch live video at this link. Your microphone will be muted, but you are welcome to unmute it (microphone icon on the lower left of the Zoom window, perhaps visible only when you put your mouse near there) to ask a question.