Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | Non-vanishing of central L-value versus vanishing of Selmer group: the case of unitary Gan-Gross-Prasad setting |
| Speaker: | Prof. Liang Xiao (University Connecticut) |
| Time: | 2017-8-17, 16:00-17:00 |
| Place: | S817 |
| Abstract: | The famous work of Kolyvagin shows that the non-vanishing of central value of the L-function associated to an elliptic curve implies the vanishing of its Selmer group. This was a key component in proving B-SD conjecture in the rank zero and one case. I will report on a recent joint work-in-progress with Yifeng Liu, Yichao Tian, Wei Zhang, and Xinwen Zhu, on a generalization of Kolyvagin's theorem for automorphic forms on higher rank groups, in particular the case of unitary Gan-Gross-Prasad paradigm. |
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