PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Damien Broka.

Title:Combinatorics and Representation Theory of Generalized Permutohedra
Seminar:Student Geometric Functional Analysis Seminar
Speaker:Nicholas Early, Penn State
Abstract:
The usual approach to the homology of simplicial complexes of simple Lie type starts from the symmetry and incidence relations of root hyperplanes $x_i=x_j$. We shall sketch what we need from a new framework, due to Adrian Ocneanu, in which generalized permutohedral cones, called plates, subject to homological relations, are now the fundamental building blocks. The symmetric group, which acts by permuting coordinates, decomposes the linear space of plates into irreducible representations. We shall discuss some ideas which led us to a proof of a conjecture of Ocneanu for the character of the action of the symmetric group on the module of plates in a simplex.

Room Reservation Information

Room Number:MB113
Date:04 / 06 / 2016
Time:04:30pm - 05:45pm