|The Schottky problem from the metric perspective|
|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|
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.