BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar The Manin-Drinfeld problem for shtukas
The Manin-Drinfeld problem for shtukas
Organizers
Hansheng Diao , Yueke Hu , Emmanuel Lecouturier , Cezar Lupu
Speaker
Zhiyuan Ding
Time
Monday, June 3, 2024 10:00 AM - 11:00 AM
Venue
Shuangqing-B627
Abstract
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.