活动地点：CMS 202

活动类型：学术报告

主讲人：季理真教授

活动时间：2017-07-12 10:00:00--2017-07-12 11:00:00

活动内容：

季理真教授专题学术报告

 

报告题目：The Schottky problem from the metric geometric perspective 

 

报告人：季理真 教授（密西根大学数学系）

 

时间：2017年7月12日（周三）上午10:00

 

地点：数学中心202教室

 

Abstract: The moduli space of compact Riemann surfaces of genus 1 can be identified with the quotient of the upper half plane by the modular group SL(2, Z). It admits two important generalizations: the moduli space M_g of compact Riemann surfaces of genus g greater than or equal to 1, and the moduli space A_g of principally polarized abelian varieties of dimension g. Besides various similarities between them, there is a period (or Jacobian) map from M_g to A_g. The classical Schottky problem is to understand the image of M_g in A_g. Besides being a quasi-projective variety, A_g is also a locally symmetric space of finite volume with respect to the invariant metric. We will discuss several results on the size, location and shape of the image of M_g with respect to this complete metric of A_g.