Center for Mathematical Sciences Lectures
Mallat Family Fund for Research in Mathematics


invites you to a
SPECIAL LECTURE SERIES
to be presented by


Professor Peter S Ozsváth
Princeton
On December 12^{th}, 14^{th}, 15^{th}, 2011
Auditorium 232,
Amado Mathematics Building 

ABSTRACTS 
Peter Ozsvath is a professor of mathematics at Princeton University. He started his mathematical career working on gage theory and SeibergWhitten equations. Later, together with Zoltan Szabo, he created the theory of Heegaard Floer Homology which is currently a major theme in the research in 3manifold theory. Heegaard Floer Homology is an invariant of a closed 3manifolds which is computed using a Heegaard diagram of the manifold. Later they expanded this theory to a theory called Knot Floer Homology which applies to manifolds which are knot complements. A knot in a threemanifold induces a filtration on the Heegaard Floer homology groups, and the filtered homotopy type is a powerful invariant of the knot. In particular it categorifies the Alexander polynomial and can detect the genus of the knots. The Knot Floer Homology theory is playing now a central role in trying to determine which knots admit surgeries resulting in lens spaces. Both theories have settled some long standing conjectures in knot theory Prof. Ozsváth's homepage
