p进L函数

讲座时间 Datetime:3月23日，星期三，11:00---12:00

地点 Venue: Zoom Meeting : 894 6999 7231

报告人 Speaker: Andrei Jorza

单位 Affiliation: University of  Notre Dame  

报告摘要 Abstract:

p-adic L-functions have been essential, in the last decades, in proving instances of the Birch and Swinnerton-Dyer and Bloch-Kato conjectures. In this general talk, I will explain what p-adic L-functions are, and how they appear in connection with p-adic families of modular forms, focusing on the case of GL(2). The Taylor expansion of p-adic L-functions in p-adic families, was crucial in proving the trivial zero conjecture in Barrera-Dimitrov-Jorza, and we will explore a few such intriguing examples of Taylor expansions.