Printable PDF
Department of Mathematics,
University of California San Diego

****************************

Differential Geometry Seminar

Feng Luo

Rutgers University

A dilogarithm identity on moduli space of Riemann surfaces

Abstract:

Given any closed hyperbolic surface of a fixed genus, we establish an identity involving dilogarithm of lengths of simple closed geodesics in all embedded pairs of pants and one-holed tori in the surface. One may consider this as a counterpart of McShane's identity for closed hyperbolic surfaces. This is a joint work with Ser Peow Tan.

Host: Ben Chow

December 13, 2011

10:00 AM

AP&M 5402

****************************