数论研讨班:On analogues of modular units for the moduli stack of Drinfeld shtukas

中科院数学与系统科学研究院

数学研究所

数论研讨班

报告人： 丁之元 博士（the University of Tokyo）

题  目：On analogues of modular units for the moduli stack of Drinfeld shtukas

时  间：2021.11.05（星期五），10:00-11 :00

地  点：数学院南楼N204室  腾讯会议：198 193 394

摘  要：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.