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 Ozsvath
Princeton
 
On
 
December 12th, 14th, 15th, 2011
 
Auditorium 232, 15:30
 
Amado Mathematics Building
Technion, Haifa, Israel
 
For abstract and other additional details see
 
 <http://www.math.technion.ac.il/cms/decade_2011-2020/year_2011-2012/Ozsvath/>
 
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
 
 <http://math.mit.edu/~petero/>
 
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