Arithmetic level raising for unitary groups and Beilinson-Bloch-Kato conjecture (I)

Yifeng Liu
Yale University
Tuesday, April 9, 2019 - 11:00am to 12:00pm
Vincent Hall 213

In this series of two talks, we will introduce the recent progress on Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives of arbitrary rank. We will discuss an important technique used in the proof, namely, the arithmetic level raising for unitary groups of even rank. We will also mention other interesting results we obtained during the course of proof. This is based on a joint work with Y. Tian, L. Xiao, W. Zhang, and X. Zhu.