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BIMSA-YMSC Tsinghua Number Theory Seminar
A new geometric comparison between representations of real and p-adic groups
A new geometric comparison between representations of real and p-adic groups
Organizers
Hansheng Diao
, Heng Du
, Yueke Hu
, Bin Xu
, Yihang Zhu
Speaker
Qixian Zhao
Time
Thursday, May 22, 2025 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
In this talk, I will present a geometric comparison between representations of two pairs of real and $p$-adic groups: $GL_n(C)$ with $GL_m(Q_p)$, and $U(p,q)$ with $Sp(m,Q_p)$, $SO(m,Q_p)$. The comparisons are achieved by constructing explicit maps between Langlands parameter spaces. We will sketch the construction, describe some desired properties, and discuss possible applications to the study of Arthur packets. This is based on joint work with Taiwang Deng, Chang Huang, and Bin Xu.