Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Yichao Tian
2018-10-10 17:00-18:00
N913
Title: Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Speaker: Yichao Tian (Université de Strasbourg)
Time: 17:00-18:00, October 10 (Wednesday), 2018
Place: N913
Abstract: In my talk, I will report on my ongoing collaborating project together with Yifeng Liu, Liang Xiao, Wei Zhang, and Xinwen Zhu, which concerns the rank 0 case of the Beilinson-Bloch-Kato conjecture on the relation between L-functions and Selmer groups for certain Rankin--Selberg motives for GL(n) x GL(n+1). I will state the main results with some examples coming from elliptic curves, sketch the strategy of the proof, and then focus on the key geometric ingredients, namely the semi-stable reduction of unitary Shimura varieties of type U(1,n) at non-quasi-split places.
