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

Yifeng Liu
2020-05-13 16:30 - 17:30
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2020513日(周三)16:30—17:30(Zoom网络研讨会,请提前注册

刘一峰 (Yale University)

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

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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