EVENT DETAILS AND ABSTRACT

Title: String topology & compactified moduli space of Riemann surfaces
Speaker: Kate Poirier
Speaker Info: Berkeley
Brief Description:
Special Note:
Abstract:

Our goal is to describe the algebraic structure of the homology of the loop space of a manifold. We would like do so by solving the master equation in a chain complex computing the homology. We present a solution to a related equation with an extra term, describe how to eliminate the extra term in one example and suggest a method for eliminating it in general. The solution uses string topology and a compactification of the moduli space of Riemann surfaces.