Time: 11:00-12:00, Tuesday, July 4, 2023
Venue: E4-201, Yungu Campus
Host: Dr. Xing Gu, ITS
Spearker: Dr. Zhiyu Zhang, Stanford University
Title: On Arithmetic Fundamental Lemmas and Arithmetic Transfers
Abstract: The Gross-Zagier-Zhang formula relates heights of Heegner points on Shimura curves to central derivatives of L functions of modular forms, which is a key to the arithmetic of elliptic curves by modularity. In this talk, I will talk about the AGGP conjecture, which is a higher dimensional generalization of the formula and has applications to the Bloch-Kato conjecture of automorphic motives. I will discuss recent developments on arithmetic fundamental lemmas and arithmetic transfers by A. Mihatsch, W. Zhang and myself, which lead to a proof of (p-adic) AGGP conjecture with mild ramifications.
