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BIMSA-YMSC Tsinghua Number Theory Seminar
BIMSA-YMSC Tsinghua Number Theory Seminar
Kloosterman Sums and Bessel Distributions
Kloosterman Sums and Bessel Distributions
Organizers
Peiyi Cui
, Hansheng Diao
, Heng Du
, Yueke Hu
, Huajie Li
,
Max Wenqiang Xu
, Bin Xu
, Yihang Zhu
Speaker
Li Cai
Time
Wednesday, September 23, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
Let $G$ be a split reductive group over a $p$-adic field. We prove that Bessel distributions are regular for all generic representations on $G$ provided that certain Kloosterman sums for any Levi subgroups of $G$ have nontrivial bounds. The regularity is proved for groups of type A and the group $G_2$.