Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | Fourier-Jacobi cycles and derivatives of L-functions II |
| Speaker: | Fourier-Jacobi cycles and derivatives of L-functions II (Yale University) |
| Time: | 2018-8-1, 15:00-16:30 |
| Place: | N818 |
| Abstract: | In this series of two talks, we study the arithmetic theory of Fourier-Jacobi periods. we construct the so-called Fourier-Jacobi cycles on unitary Shimura varieties. The height pairing of these cycles can be regarded as the arithmetic analogue of classical Fourier-Jacobi periods for the pair of unitary groups of equal rank. We will formulate a conjectural formula relating such height pairing and derivative of certain Rankin-Selberg L-function. We will also explain an approach toward this conjecture using arithmetic relative trace formula. |
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