Gan-Gross-Prasad conjecture and its application in number theory

• 主讲人：Yifeng Liu (Zhejiang University)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2024-12-26 20:00 - 2024-12-26 21:00
• 地点： Online

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Recording: https://disk.pku.edu.cn/link/AA4698106E7CE74785B8E3CA1689DE23C5

 

Abstract: Gan-Gross-Prasad conjecture is one of the major conjectures in the area of automorphic forms, relating period integrals to L-values. In this talk, we will introduce this conjecture and survey its progress, mainly in the hermitian case, which has been fully solved. Then we will discuss its four applications in the Beilinson-Bloch-Kato conjecture, Iwasawa's main conjecture, subconvex bounds of L-values, and nonvanishing of L-values.

 

Bio: Yifeng Liu, chair professor at the Institute for Advanced Study in Mathematics, Zhejiang University. He graduated from Peking University in 2007, obtained PhD from Columbia University in 2012, under the supervision of Shouwu Zhang. He was then a C.L.E. Moore Instructor at MIT, an assistant professor at Northwestern University, an associate professor and a professor at Yale University, before returning to China in 2021. His main research interests include Algebraic Number Theory, Algebraic Geometry, and Automorphic Forms. He was awarded a SASTRA Ramanujan Prize in 2018.