# Noetherian Ring Seminar Spring 2013

Thursday - 4pm

Refreshments served at 3:30 pm in the Tea Room #4161

McHenry Building - Room 4130

For more information, contact Liz Pannell

**May 9, 2013**

**Intersecting loops on surfaces, string topology, and the moduli**

**space of Riemann surfaces****Kate Poirier, Post-Doc at UC Berkeley**

String topology is the study of algebraic structures arising

from intersecting loops in manifolds. These structures encode

interesting topological and geometric information about the manifold

itself. One example of a string topology operation is the Goldman

bracket, which is given by intersecting loops on surfaces. In this

talk, I will define the Goldman bracket for surfaces, introduce

generalizations of it to string topology operations for manifolds of

higher dimension, and describe how a compactification of the moduli

space of Riemann surfaces parametrizes these operations. This includes

joint work with Gabriel C. Drummond-Cole and Nathaniel Rounds.