When

Start: 02/02/2011 - 4:15pm

End : 02/02/2011 - 5:00pm

End : 02/02/2011 - 5:00pm

Category

Colloquium

Speaker

Adam Lowrance (University of Iowa)

Abstract

Many classical topological invariants can be expressed as a signed sum over a

set of states. Often one can generalize the classical invariant by replacing the state

sum with a chain complex and taking its homology. In this talk, I will give three

examples of such a construction: 1. Euler characteristic of a CW complex generalized

to cellular homology, 2. the Jones polynomial generalized to Khovanov homology, and

3. the Alexander polynomial generalized to knot Floer homology. I will also discuss

applications of Khovanov homology and knot Floer homology and the relationship

between the two invariants.

Where

Roberts North 15, Claremont McKenna College