Morningside Center of Mathematics

Chinese Academy of Sciences

中国科学院晨兴数学中心

Morningside Center of Mathematics

Chinese Academy of Sciences

Title: | Fourier-Jacobi cycles and derivatives of L-functions I |

Speaker: | Prof. Yifeng Liu (Yale University) |

Time: | 2018-7-31, 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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