Title: Fourier Trace Formulas of cubic level and Applications

Speaker: Qinghua Pi, School of Mathematics and Statistics, Shandong University(Weihai)

Abstract: We will introduce a recent result on Fourier trace formulas for automorphic representations on GL_2 of cubic level. It was established via the method of the relative trace formula and classifications of simple supercuspidal representations, which is different from Nelson's method. Applications on Weyl's law and non-vanishing of modular L-values are also introduced.  This work is jointed with Yingnan Wang and Lei Zhang.

Time/Venue: 10:10-11:10 29/11/2019 B1044