数学研究所
学术报告
表示论研讨班
Speaker: Gurbir Dhillon (UCLA)
Inviter: 聂思安 研究员
Language: English
Title:Some applications of the semi-infinite IC sheaf
Time&Venue: 2025年4月17日（星期四） 10:00-12:00 & ZoomID:898 7212 4018 Password:123456
Abstract: Thanks to the work of many mathematicians (including Lusztig, Drinfeld, Feigin, Frenkel, Finkelberg, Mirkovic, Kuznetsov, Bezrukavnikov, Braverman, Gaitsgory,...), a certain sheaf (the semi-infinite IC sheaf) is known to play a basic role in many parts of representation theory and the Langlands correspondence. In the first part of the talk, we will attempt to give a motivated introduction to this circle of ideas. In the second half, we will describe some ongoing joint works (with Achar, Campbell, and Riche) concerning its applications in representation theory in characteristic 0 and characteristic p > 0.
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