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BIMSA-YMSC Tsinghua Number Theory Seminar
Coperiod and central critical symmetric cube $L$-value
Coperiod and central critical symmetric cube $L$-value
Organizers
Hansheng Diao
, Heng Du
, Yueke Hu
, Bin Xu
, Yihang Zhu
Speaker
Time
Thursday, May 15, 2025 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
Period integrals and special values of automorphic $L$-functions have deep and intrinsic relationships. We will explain how the central symmetric cube $L$-value of automorphic representations of $GL_2$ is related to a coperiod integral of $GL_2$ in its cubic Kazhdan-Patterson cover, and show certain local multiplicity one properties. This is based on a joint work in progress with Li Cai and Yangyu Fan.