Speaker:  Alex Chandler, NC State

Title:  Thin posets and homology theories

Abstract:

Inspired by Bar-Natan's description of Khovanov homology, we discuss

thin posets and their capacity to support homology and cohomology

theories which categorify rank-statistic generating

functions. Additionally, we present two main applications. The first,

a categorification of certain generalized Vandermonde determinants

gotten from the Bruhat order on the symmetric group by applying a

special TQFT to smoothings of torus link diagrams. The second is a

broken circuit model for chromatic homology, categorifying Whitney's

broken circuit theorem for the chromatic polynomial of graphs.

www.math.uky.edu/~readdy/Seminar