Speaker: Margaret Readdy, University of Kentucky
Title: Eulerian posets and beyond
Time: 2:30 PM, Monday, October 23, 2023
Place: Malott 206
Abstract: A poset is Eulerian if it is graded and every non-trivial interval
satisfies the Euler-PoincarŽ relation. After describing examples
stemming from polytopes, regular CW-complexes and the strong Bruhat
order on Coxeter groups, we will review the cd-index. This
non-commutative polynomial has emerged as a useful tool for studying
face incidence structure data. We then discuss Gustafson's new method
to form an Eulerian poset from a generator enriched lattice
called the strong minor poset. Finally, Ehrenborg, Goresky and I relax the
Eulerian condition so that it holds for Whitney stratified manifolds.
This topologically cognizant setting allows us to generalize the
research program of characterizing face vectors of polytopes.
This talk is suitable for a general audience.
Back to main seminar page.