Number Theory Seminar

Seminar information archive ~05/20Next seminarFuture seminars 05/21~

Date, time & place Wednesday 17:00 - 18:00 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Yoichi Mieda

2022/05/18

17:00-18:00   Room #ハイブリッド (Graduate School of Math. Sci. Bldg.)
Hiroshi Ishimoto (University of Tokyo)
Local Langlands correspondence for non-quasi-split odd special orthogonal groups (JAPANESE)
[ Abstract ]
In 2013, Arthur established the endoscopic classification of representations of quasi-split symplectic and orthogonal groups, and Mok analogously proved the similar classification for quasi-split unitary groups. In 2014, Kaletha-Minguez-Shin-White established the classification for non-quasi-spilt unitary groups assuming Mok's results. Similarly, we can prove that for non-quasi-split odd orthogonal groups assuming Arthur's results. In this talk, I will explain the local Langlands correspondence for non-quasi-split odd special orthogonal groups, which is a part of the classification of representations.