Events for 05/03/2017 from all calendars

Noncommutative Geometry Seminar

Time: 2:00PM - 2:50PM

Location: BLOC 628

Speaker: Lizhen Ji, University of Michigan

Title: Colloquium Talk (Moduli spaces versus locally symmetric spaces)

Abstract: The most basic locally symmetric space is the quotient of the upper half plane by the modular group SL(2, Z). It can also be interpreted as the moduli space of compact Riemann surfaces of genus 1. Consequently, it admits two important classes of generalizations: the moduli space M_g of compact Riemann surfaces of genus g greater than or equal to 1, and locally symmetric spaces, in particular, the Siegel modular variety A_g, which is also the moduli space of principally polarized abelian varieties of dimension g. Besides discussing several results on similarity between them, we will also discuss the Schottky problem from the metric geometric perspective. Specifically, there is a period (or Jacobian) map from M_g to A_g. The classical Jacobian problem is to understand the image of M_g in A_g as an algebraic subvariety. 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 the metric of A_g.

Departmental reception for graduate students

Time: 3:00PM - 4:00PM

Location: Blocker 117

Description: This reception is to honor all graduate students who will be graduating in May 2017, August 2017 and December 2017. Graduate students who have received awards during the year will also be recognized.