Note：

Sept. 29-Oct.6：Mid-Autumn Festival and National Day Holidays

The lectures on Oct. 3 and Oct. 5 will be canceled. Another two lectures will be delivered on Sat., 9:50-11:25 am, Oct. 14 and Oct. 21，in Lecture Hall B725, Shuangqing Complex Building A。

Description:

Modular forms appear in many parts of mathematics: for example in number theory, algebraic geometry and mathematical physics. Siegel modular forms are a natural generalization of the usual elliptic modular forms. The course intends to give an introduction to and overview of Siegel modular forms.It treats basic elements like the Satake compactification and Hecke operators,construction methods of modular forms and the relation with the moduli of abelian varieties.In particular we will pay attention to Siegel modular forms of degree 2 and 3 where invariant theory and a cohomological approach using counting curves over finite fields will help making things explicit.

Prerequisites:

Some acquaintance with elliptic modular forms is useful, but not necessary.  Some familiarity with basic notions in algebraic geometry
is assumed.

References to the literature will be given at the beginning of the course.

Bio:
Gerard van der Geer is professor emeritus at the University of Amsterdam He works in algebraic geometry and arithmetic geometry with emphasis on moduli spaces and modular forms. He worked on Hilbert modular surfaces,curves over finite fields, cycle classes on moduli of abelian varieties and on modular forms. He got a honorary doctorate of the University of Stockholm.

Email: g.b.m.vandergeer@uva.nl

Registration link:  https://www.wjx.top/vm/hIyYeIS.aspx#

注：听课的老师和学生请携带工作证和学生证进入。

清华大学双清综合楼A座地址：北京市海淀区逸清南路西延6号院1号，双清公寓马路对面、清华附小（双清校区）西侧。