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Heights of Special Points on Quaternionic Shimura Varieties

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

Roy Zhao

时间

2024年09月23日 10:00 至 11:00

地点

Shuangqing-C654

摘要

In this talk, we will present an explicit formula for the height of a special point on a quaternionic Shimura variety in terms of Faltings heights of CM abelian varieties. This improves upon Yuan and Zhang’s work on the height of points on quaternionic Shimura curves. We will also discuss applications of this formula to proving the Large Galois Orbits Conjecture, an ingredient in the Pila—Zannier strategy for proving the Andre—Oort conjecture for Shimura varieties. We then contrast this formula with the one given by Pila, Shankar, and Tsimerman.