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Workshop

Face numbers of barycentric subdivisions of cubical polytopes

  • Christos Athanasiadis (National and Kapodistrian University of Athens, Athens, Greece)
Live Stream MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream)

Abstract

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.

Links

conference
4/6/21 4/9/21

(Polytop)ics: Recent advances on polytopes

MPI für Mathematik in den Naturwissenschaften Leipzig Live Stream

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Federico Castillo

Max Planck Institute for Mathematics in the Sciences

Giulia Codenotti

Goethe University Frankfurt

Benjamin Schröter

Royal Institute of Technology (KTH)