Yifeng Liu - On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2020-05-13

In this talk, we will explain the final outcome on the Beilinson-Bloch-Kato conjecture for motives coming from certain automorphic representations of GL(n) x GL(n+1), of our recent project with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu. In particular, we show that the nonvanishing of the central L-value of the motive implies the vanishing of the corresponding Bloch-Kato Selmer group. We will also explain the main ideas and ingredients of the proof.