##### Department of Mathematics,

University of California San Diego

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### 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

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