BIMSA-YMSC Tsinghua Number Theory Seminar
Organizers：
Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu
Speaker：
Liyang Yang (Princeton)
Time：
Monday, 10:00-11:00am
Dec. 23, 2024
Online：
Zoom Meeting ID: 4552601552
Passcode: YMSC
Title：
Uniform Non-vanishing of Hilbert Modular L-values
Abstract：
Let F(k,q) be the set of normalized Hilbert newforms of weight k and prime level q. In this talk, we will use a regularized relative trace formulas to establish a uniform positive proportion of #{\pi \in F(k,q) : L(1/2, \pi) \neq 0} as #F(k,q) tends to infinity. Our result matches the best-known outcomes in both the level and weight aspects. This is joint work with Zhining Wei and Shifan Zhao. If time permits, we will introduce a simultaneous non-vanishing result via a symmetric spectral reciprocity.
