Seminar

Speaker(s): 
Eaman Eftekhary
Title: 
Heegaard Floer theory and invariants of 3-manifolds and knots inside them.
Abstract: 

 We review some of the main developments in Heegaard Floer theory in the past 15 years. In particular, this includes the applications to the study of 3-manifolds, as well as the construction of knot and link invariants. Our focus will be on a number of classical problems, namely, using Heegaard Floer theory to distinguish the  standard sphere from other 3-manifolds, detection of the Seifert genus of a knot and lower bounds on the unknotting number. Part of the work reported in this talk is joint work with A. Alishahi.