时间:2023年7月4日(星期二)11:00-12:00
地点:西湖大学云谷校区E4-201
主持人:理论开云app官网下载安卓 院,古星博士
主讲人:斯坦福大学,张志宇博士
报告主题:On Arithmetic Fundamental Lemmas and Arithmetic Transfers
报告摘要:
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.