Venue: Lecture Hall of IASM

Time: March 11, 16:00 - 17:00

Speaker: 郭子棋 Ziqi Guo (Peking University)

Abstract: The goal of our work is to prove a formula expressing the modular height of a unitary Shimura variety over a CM number field in terms of the logarithm derivative of the Hecke L-function associated with the CM extension. In a more specific term, we will introduce a global canonical integral model of such a unitary Shimura variety, and compute the arithmetic top self-intersection number of a canonical arithmetic line bundle with Hermitian metric on such integral model. At the same time, we also delve into a thorough investigation of the arithmetic generating series of divisors on unitary Shimura varieties. Therefore, we will also obtain the so-called arithmetic Siegel–Weil formula in our setting.