Home   Overview   Faculty   Research   Undergraduate Programs   Graduate Programs   Position Available   Contact Us

Previous Next
Home >> Seminar

【短课程】Arithmetic theta lifting and the Beilinson-Bloch conjecture

Tuesday, June 9th, 2020, 10:00 AM  闵行数学楼402报告厅
时间: 6月9日、10日、16日、18日,10:00-11:00
摘要:In this series of talks, we will first review the theory of classical theta lifting and then introduce its arithmetic version. We will explain how to use such construction to prove cases of the Beilinson-Bloch conjecture, which is a generalization of B-SD, for higher dimensional motives. Under certain natural hypothesis, we will prove a formula, called the arithmetic inner product formula, which generalizes the Gross-Zagier formula to higher dimension. The arithmetic part of these talks are mostly based on my thesis and a very recent joint work with Chao Li. For prerequisite, we will assume some basic knowledge about Shimura varieties and automorphic forms on classical groups.
Links >>
Resources >>
  Other Links >>    Shanghai Mathematical Society    Chinese Mathematical Society    American Mathematical Society    The European Mathematical Society  
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609