The Manin-Drinfeld problem for shtukas

開催日時
2022/07/08 金 13:30 - 14:30
場所
3号館152号室
講演者
Zhiyuan Ding
講演者所属
Kavli IPMU
概要

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.

※ 本セミナーは対面で行われます。