Face numbers of barycentric subdivisions of cubical polytopes
- Christos Athanasiadis (National and Kapodistrian University of Athens, Athens, Greece)
About fifteen years ago F. Brenti and V. Welker asked whether the face enumerating polynomial of the barycentric subdivision of any convex polytope has only real roots and showed that this is the case for simplicial polytopes. Until very recently, no strong evidence had been provided in the literature that such a result may hold beyond the simplicial case. This talk will give an affirmative answer for another important class of convex polytopes, namely that of cubical polytopes, and will discuss some related topics.