Center for Mathematical Sciences Lectures
Mallat Family Fund for Research in Mathematics
invites you to a
to be presented by
Professor Peter S Ozsvath
December 12th, 14th, 15th, 2011
Auditorium 232, 15:30
Amado Mathematics Building
Technion, Haifa, Israel
For abstract and other additional details see
Peter Ozsvath is a professor of mathematics at Princeton University. He
started his mathematical career working on gage theory and
Seiberg-Whitten equations. Later, together with Zoltan Szabo, he created
the theory of Heegaard Floer Homology which is currently a major theme
in the research in 3-manifold theory. Heegaard Floer Homology is an
invariant of a closed 3-manifolds 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 three-manifold 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.  Ozsvath's homepage
Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <> 
Announcement from: Techmath Editor   <>