|Topic:||Poincare duality in loop spaces|
|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.