Joint IAS/Princeton University Number Theory Seminar | |

Topic: | Generating series of arithmetic divisors in unitary Shimura varieties |

Speaker: | Tonghai Yang |

Affiliation: | University of Wisconsin, Madison |

Date: | Thursday, December 3 |

Time/Room: | 4:30pm - 5:30pm/Fine 214, Princeton University |

In this talk, I will describe roughly how to define a generating function arithmetic divisors (in Arakelov sense) on a unitary Shimura variety of type $(n-1,1)$. I will then briefly explain why it is modular. If time permits, I will also talk briefly about its application to Gross-Zagier-Zhang type formula and to Colmez conjecture. This is an ongoing joint work with Bruinier, Howard, Kudla and Rapoport.