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On Arithmetic Fundamental Lemmas and Arithmetic Transfers

2023-06-28 15:46:56

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:理论科学研究院,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.