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丁之元 博士:On analogues of modular units for the moduli stack of Drinfeld shtukas

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 丁之元 博士,the University of Tokyo
Inviter:
Title:
On analogues of modular units for the moduli stack of Drinfeld shtukas
Time & Venue:
2021.11.05 10:00-11:00 南楼N204室 腾讯会议:198 193 394
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.

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