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Andy Fromader (Cornell)

The Charney-Davis Conjecture for Certain Spheres

Abstract for the Combinatorics and Geometry/Topology Seminars 2009 March 17

The Charney-Davis conjecture is an easily stated linear inequality on the face numbers of simplicial spheres that are also flag complexes, that is, complexes for which every minimal non-face is a two element set. While the conjecture is reasonably well known, it is only known to hold in a handful of rather narrow cases, and the proofs are often very complicated. I will discuss some known results and give an easy proof of a relatively broad case.

seminars/comb/abstract.200903fro.txt · Last modified: 2020/01/29 14:03 (external edit)