On Analogues of Modular Units for the Moduli Stack of Drinfeld Shtukas
2021-12-15 15:00:00
2021-12-15 15:00:00
2021-12-15 15:00:00
Speaker : 3:00PM,Zhiyuan Ding
Time : 2021-12-15 15:00:00
Location :
Speaker: Zhiyuan Ding (IPMU, University of Tokyo)
Date: December 15 Wed. 3:00pm--4:00pm
Venue: ZOOM ID: 970 2662 9834 Password: 499643
Abstract: We construct certain rational functions on the moduli stack of Drinfeld shtukas. These rational functions are analogues of modular units for elliptic curves. Their divisors are supported on horocycles. We introduce the notion of toy shtukas, and use their moduli space to describe the space of principal horospherical divisors generated by the divisors of these rational functions. This gives an explicit version of the Manin-Drinfeld theorem for function fields.
Link: https://zoom.us/j/97026629834?pwd=eml5aklsSzI5NzJnODZtTG9Kajl6QT09
Contact: Yifeng Liu(liuyf0719@zju.edu.cn)