School Seminars and Colloquia

Counting lattice points in compactified moduli spaces of curves

Algebra/Geometry/Topology Seminar

by Dr Norman Do


Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Tue 17th May 2011
Time: 3:15 PM
Location: Old ARts D, The University of Melbourne

Abstract: In recent work with Paul Norbury, we count combinatorial objects known as stable ribbon graphs, which correspond to lattice points in the compactified moduli space of curves. The enumeration produces polynomials whose top degree coefficients are intersection numbers and whose constant term is the Euler characteristic of the moduli space. In this talk, I will show that stable ribbon graphs arise naturally in the study of moduli spaces of curves and demonstrate how to calculate these polynomials.

For More Information: contact: Prof Arun Ram. email: aram@unimelb.edu.au