Hurwitz’s factorization count and its deformations

Professor Victor Reiner

University of Minnesota
Barton Lectures in Computational Mathematics


Date: Wednesday, August 26, 2020
Time: 4:00 pm - 5:00 pm
Location: Virtual through Zoom
Dr. Victor Reiner is the Associate Head in the Department of Mathematics at the University of Minnesota and stands as the Distinguished McKnight University Professor in the School of Mathematics. Dr. Reiner focuses his research in combinatorics.

Abstract:  In 1891, A. Hurwitz reduced a topological question to a counting problem:  In how many ways can one factor an n-cycle into n-1 transpositions?  His answer, n^{n-2}, has many proofs.  We will discuss one of them, and then describe some deformations of Hurwitz’s formula where a parameter q is added to the mix.