Poincare duality in loop spaces

Mathematical Conversations
Topic:Poincare duality in loop spaces
Speaker:Nancy Hingston
Affiliation:The College of New Jersey
Date:Wednesday, March 22
Time/Room:6:00pm - 7:00pm/Dilworth Room

Geometers since Morse are interested in Morse Theory on the free loop space $LM$ of a Riemannian manifold $M$, because the critical points of the energy function on $LM$ are the closed geodesics on $M$. I will discuss an observed symmetry of the Morse theory that looks a lot like Poincaré duality. So far there are many manifestations of this symmetry principle, but no clear statement.