Modularity of arithmetic theta series

主讲人 Speaker:Zhang Zhiyu (MIT)
时间 Time:Friday, 4:00 pm-5:00 pm,October 21,2022
地点 Venue:近春园西楼三层报告厅 Lecture Hall, Floor 3,Jin Chun Yuan West Bldg.;Zoom ID: 271 534 5558; PW: YMSC


The theta series of a positive definite quadratic lattice is a modular form. The geometric theta series of a hermitian lattice with sign (n-1,1) is a generating series of special divisors on unitary Shimura varieties, which is also modular. In this talk, I will give a review on the story and present results on the modularity of arithmetic theta series with parahoric levels.


Zhang Zhiyu is a graduate student at MIT since 2018. His advisor is Professor Wei Zhang. During his last semester as an undergraduate (Spring 2018), he was visiting École normale supérieure.