Title: Heegaard Floer homology

Abstract: 

Heegaard Floer homology is a tool for studying three- and
four-dimensional manifolds, using methods that are inspired by
symplectic geometry. There are further manifestations of this theory,
giving invariants for knots in three-manifolds (knot Floer homology),
and three-manifolds with parameterized boundary (bordered Floer
homology).  I will describe both topological applications of this
theory and certain computational advances which relate Floer homology
with other algebraic objects appearing in symplectic geometry.
Heegaard Floer homology was discovered in joint work with Zoltan
Szabo; I will also describe joint work with several authors, including
Robert Lipshitz, Ciprian Manolescu, Sucharit Sarkar, and Dylan
Thurston.

Livestream/Recording Link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=41bbdf05-3899-4e64-bd9a-b12b006d7342