it University of Minnesota Combinatorics Seminar

University of Minnesota Combinatorics Seminar
Friday, February 11, 2011
3:35pm in 570 Vincent Hall



Counting fixed points for torus actions on flags

Jia Huang

Univ. of Minnesota

Abstract

(joint work with A. Berget)

The action of a cyclic group on a finite set is often associated with a nice polynomial with nonnegative coefficients, which enumerates the fixed points of any element in the cyclic group. This is the cyclic sieving phenomenon introduced by Reiner, Stanton and White in 2004.

One of the first examples of the cyclic sieving phenomenon is the action of a special torus on the partial flag variety over a finite field. We generalize it to the action of tori labeled by arbitrary compositions.