Modular Heights of Unitary Shimura Varieties-威尼斯人娱乐场官网

威尼斯人娱乐场

研讨班

威尼斯人娱乐场 > 娱乐场学术 > 至美数学 > 研讨班

Modular Heights of Unitary Shimura Varieties

来源： 10-31

时间：Monday, 10:00- 11:00 am Nov. 3, 2025

地点：B627 Shuangqing Complex Building A

组织者：Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu

主讲人： Ziqi Guo

Modular Heights of

Unitary Shimura Varieties

Organizers

Hansheng Diao, Heng Du, Yueke Hu,

Bin Xu, Yihang Zhu

Speaker

Ziqi Guo (Peking University)

Time

Monday, 10:00- 11:00 am

Nov. 3, 2025

Venue

B627

Shuangqing Complex Building A

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.

返回顶部

威尼斯人娱乐场相关的文章

BIMSA-YMSC Tsinghua Number Theory Seminar: Heights of Special Points on Quaternionic Shimura Varieties
This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students.For more informatio...
View more
Langlands-Kottwitz method for the bad reduction of simple Shimura varieties
Abstract：In this talk we first introduce the attempts of Rapoport, Scholze and Scholze-Shin to extend the Langlands-Kottwitz method of describing etale cohomology of Shimura varieties to cases of bad reduction (in which the level structure could be arbitrary and the local group could be non-quasi-split). In their approach, the problem is reduced to certain conjectures on orbital integrals and ...
View more