Program
The Schottky problem from the metric perspective
Student No.:50
Time:Tue 10:30-11:30, 2017-03-07
Instructor:Lizhen Ji  [University of Michigan]
Place:onference Room 4, floor 2, Jin Chun Yuan West Building
Starting Date:2017-3-7
Ending Date:2017-3-7

 

Abstract:

 

Every compact Riemann surface of genus at least 1determines a Jacobian variety, which is a principally polarized abelian variety. This defines the Jacobian map from the moduli space M_g of compact Riemann surfaces of genus g to the moduli space A_g of principally polarized abelian varieties. The classical Schottky problem asks to understand the image of M_g in A_G under this map. In this talk, I will discuss some results about this problem from the metric perspective.