Bessel functions and Beyond Endoscopy
Time: Mon, 11 Nov 2019, 15:30-17:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: 齐治 Zhi Qi (Zhejiang University)
Abstract:
In this talk, I will first introduce the thesis of Akshay Venkatesh on Beyond Endoscopy for Sym2 L-functions on GL2 over ℚ or a totally real field. The idea follows a suggestion of Peter Sarnak on using the Kuznetsov relative trace formula instead of the Arthur-Selberg trace formula for the Beyond Endoscopy problem. I will then discuss how to generalize Venkatesh’s work from totally real to arbitrary number fields. The main supplement is an integral formula for the Fourier transform of Bessel functions over ℂ.