Thursday, 31st July 2008, 4:00 pm

Mathematics Building, Lecture Hall 2

Peter S. Ozsvath

(Columbia University)

"Heegaard Floer homology"

** Abstract: **Heegaard Floer homology is an invariant for
three-manifolds, and four-manifolds, which is defined by counting
pseudo-holomorphic curves in a symplectic manifold associated to a
Heegaard diagram. I will describe these invariants, along with some
more recently-discovered purely combinatorial formulations (in
certain special cases), and sketch some topological applications of
the theory. Heegaard Floer homology was defined in joint work with
Zoltan Szabo; some of the combinatorial formulations include joint
work with Zoltan and also Ciprian Manolescu, Sucharit Sarkar, and
Dylan Thurston.

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