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.

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