Lea Kenigsberg, UC Davis

Title: Homotopy non invariance of the string topology coproduct

Abstract: Let M be a smooth manifold, for example a higher dimensional sphere.  The free loop space is the space of all maps from the circle to M. The loop space admits a very rich structure which reveals deep geometric and topological information about manifolds.

In this talk I will describe the string topology coproduct, and the kind of information it encodes. In particular, I will discuss interesting connections to invariants from Algebraic K theory and Fixed point theory. This is based on joint work with Noah Porcelli.