On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

Abstract: 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.

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algebraic geometrynumber theory

Audience: researchers in the topic

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Beijing-Paris-Tokyo arithmetic geometry webinar

Series comments: In this time of confinement, the Beijing-Paris-Tokyo Arithmetic Geometry Seminar turns into a webinar. To follow it, please fill out the form.

The connection link will be sent to you the day before the webinar by email at the address indicated on the form.

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