February 22 
Wilbur Whitten 
Pseudomeridians of knot groups
A pseudomeridian of the group of a knot in the 3sphere is an element that normally generates the group, but is not automorphic to a meridian. In this talk, we will see that many knot groups contain an infinite number of pseudomeridians (up to automorphism), and that the existence of such elements is connected with Simon's conjecture (Problem 1.12 (D) of Rob Kirby's list) and with other questions concerning knotgroup epimorphisms. 
March 1 
Joshua Greene (Columbia) 
Conway mutation and alternating links
Let D and D' denote connected, reduced, alternating diagrams for a pair of links, and Y and Y' their branched doublecovers. I'll discuss the proof and consequences of the following result: Y and Y' have isomorphic Heegaard Floer homology groups iff Y and Y' are homeomorphic iff D and D' are mutants.

April 12 
Jennifer Hom (U Penn) 
Concordance and the knot Floer complex
We will use the knot Floer complex, in particular the invariant epsilon, to define a new smooth concordance homomorphism. Applications include a formula for tau of iterated cables, better bounds (in many cases) on the 4ball genus than tau alone, and a new infinite family of smoothly independent topologically slice knots. We will also discuss various algebraic properties of this construction, including a total ordering, a ``much greater than'' relation, and a filtration. 