PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Jason Morton, Carina Curto, Vladimir Itskov.

Title:Permutohedral Arrangements, Simplicial Decompositions and a Geometrization of the Classical Worpitzky Identity
Seminar:Applied Algebra and Network Theory Seminar
Speaker:Nick Early, Penn State
Abstract:
In forthcoming joint work with Adrian Ocneanu, we prove a symmetric group character formula conjectured several years ago by the latter as he was studying certain polyhedra emerging from hyperplane arrangements in simplices. We reveal the geometric content which lies behind the classical Worpitzky identity, which expands a cubical number $r^{n-1}$ in terms of the Eulerian numbers. Our proof suggests a new geometric interpretation of combinatorial results of Sagan-Shareshian-Wachs on Eulerian quasi-symmetric functions.

Room Reservation Information

Room Number:MB106
Date:10 / 01 / 2014
Time:02:30pm - 03:20pm