中科院数学与系统科学研究院

数学研究所

数论研讨班

报告人： 田一超（Université de Strasbourg；中科院数学所）

题  目：Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

时  间：2018.10.10（星期三），17:00-18:00

地  点：数学院南楼N913室（视频）

摘  要: 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.