Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Yichao Tian, Université de Strasbourg
Inviter:
Title:
Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Time & Venue:
2018.10.10 17:00-18:00 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