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: Zoom

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.

*All talks will be held virtually through Zoom.  Please contact for talk links.*