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BIMSA-YMSC Tsinghua Number Theory Seminar
Anticyclotomic p-adic L-functions for Rankin-Selberg products
Anticyclotomic p-adic L-functions for Rankin-Selberg products
Organizers
Hansheng Diao
, Yueke Hu
, Emmanuel Lecouturier
,
Cezar Lupu
Speaker
Yifeng Liu
Time
Monday, June 12, 2023 10:00 AM - 11:00 AM
Venue
JCY-Hall
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.
Speaker Intro
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.