Number Theory Seminar
Wednesday, November 16, 2022, 3:15pm, Physics 119
Yeansu Kim (Purdue and Chonnam National University, Mathematics)
CLASSIFICATION OF DISCRETE SERIES REPRESENTATIONS AND ITS APPLICATIONS ON THE GENERIC LOCAL LANGLANDS CORRESPONDENCE FOR ODD GSPIN GROUPS
Abstract:- The classification of discrete series is one main subject in Langlands program
with numerous applications. We first explain the result on the classification of
discrete series of odd GSpin groups, generalizing the Mœglin-Tadi ́c classification
for classical groups. Note that our approach will give alternate proof for classical
groups. This is a joint work with Ivan Mati ́c. We also explain its application on
the generic local Langlands correspondence via Langlands-Shahidi method. If time
permits, we will explain possible generalization of those to other groups, which is work in progress [video]
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