数论与表示论讨论班——Local intertwining relation for GL(n)

报告人：Hiraku Atobe (Kyoto University) 

时间：2025年3月26日，15:00-16:00

组织者：Dongwen Liu, Yifeng Liu,

                Andreas Mihatsch, Binyong Sun

地点：紫金港校区东7数高院一楼报告厅

摘要：The local intertwining relations for classical groups are the second main local theorem in Arthur’s theory of endoscopic classification. They are identities that give precise information about the action of normalized intertwining operators on parabolically induced representations. In this talk, I will explain the local intertwining relation for twisted general linear groups, which is also required in the inductive proof of the endoscopic classification for quasi-split classical groups due to Arthur and Mok. This talk is based on a joint work with Atsushi Ichino (Kyoto), Wee Teck Gan (Singapore), Alberto Minguez (Vienna), Tasho Kaletha (Bonn), and Sug Woo Shin (UC Berkeley).