The Manin-Drinfeld problem for shtukas
组织者
刁晗生
, 胡悦科
, 埃马纽埃尔·勒库图里耶
,
凯撒·鲁普
演讲者
Zhiyuan Ding
时间
2024年06月03日 10:00 至 11:00
地点
Shuangqing-B627
摘要
In this talk, we will discuss linear equivalences between cuspidal divisors on the moduli stack of Drinfeld shtukas. We exhibit explicit linear equivalences with the help of auxiliary moduli spaces of toy shtukas. Then we use compactification to determine the space of principal cuspidal divisors. Unlike the Manin-Drinfeld theorem for modular curves, in our case, principal cuspidal divisors form a nontrivial subspace of zero degree cuspidal divisors.