BIMSA-YMSC Tsinghua Number Theory Seminar | Anticyclotomic p-adic L-functions for Rankin-Selberg products

This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students.

For more information,please refer to:

http://www.bimsa.cn/newsinfo/647938.html.

Abstract 

In this talk, we will construct anticyclotomic p-adic L-functions for motives coming from conjugate-selfdual automorphic Rankin-Selberg products, for both root numbers. We will propose several conjectures concerning such p-adic L-functions and explain certain progress toward one of them, namely, one-side divisibility of a corresponding Iwasawa main conjecture.

About the speaker 

Yifeng Liu joined the IASM (Institute for Advanced Study in Mathematics at Zhejiang University) as a permanent member in June 2021. He obtained his bachelor's degree from Peking University in 2007 and his doctorate from Columbia University in 2012. He was a C.L.E. Moore Instructor at MIT (2012—2015), an Assistant Professor at Northwestern University (2015—2018), an Associate Professor and then a Professor at Yale University (2018—2021) right before joining the IASM.

Yifeng's research areas include Algebraic Number Theory, Automorphic Forms, and Algebraic Geometry, especially in the arithmetic aspect of the Langlands program. He received a Sloan Research Fellowship in 2017 and was awarded the 2018 SASTRA-Ramanujan Prize shared with Jack Thorne.