国家天元数学中部中心短期课程 | Introduction to Drinfeld Modules and Modular Varieties

发布时间: 2022-07-16 21:56

【开课说明】

课程日期:2022.08.12/15/17/19/22/24/26

授课时间:15:00-17:00

课时数:2课时/天,共14课时

ZOOMID:561 420 9883         密码:tmcc2022

授课老师:Prof. Chia-Fu Yu    Academia Sinica

主办单位:国家天元数学中部中心、武汉大学数学与统计学院


【课程信息】

Abstract :

Drinfeld modules and Drinfeld modular varieties are function field analog of elliptic curves and elliptic modular curves, which also play an important role in arithmetic geometry. The purpose of this short course is to introduce them and discuss the parallel theory for graduate students who plan to study further topics. Our plan is to cover the construction of Drinfeld modular varieties and the description of the rationl points over finite fields, which are about the contents of Laumon’s book [1] Chapters I and II. Topics include: Line bundles Drinfeld modules, torsion subgroups, level N structure, Drinfeld moduli spaces, Tate modules, Dieudonne modules, endomorphism algebras, central simple algebras, Honda-Tate theorem.

Prerequisites :

Notions of schemes and group schemes. Basics on moduli spaces would be helpful (See for example Lectures 1-4 of Introduction to abelian varieties: analytic theory:

http://tmcc.whu.edu.cn/info/1262/1825.htm).

References :

[1] Gerard Laumon, Cohomology of Drinfeld modular varieties. Part I, (1996).


【报名流程及联系人】

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联系人:杨老师  电话:027-68788932 / 16602740903   Email:  tmcc@whu.edu.cn