Time: 15:00-16:00, Wednesday, March 26  

Title: Local intertwining relation for GL(n)

Speaker: Hiraku Atobe 跡部発 (Kyoto University 京都大学)

Abstract: 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).