CAGS: Hurwitz action in complex reflection groups

Speaker:  Jiayuan Wang, The George Washington University

Title:  Hurwitz action in complex reflection groups

Abstract: 

In this talk, well discuss the Hurwitz action on reflection factorizations in the infinite family G(m, p, n) of complex reflection groups. Well present a formula that counts the number of Hurwitz orbits of an arbitrary element in G(m, p, n). As a consequence, we’ll characterize the elements for which the action is transitive and give a simple criterion to tell when two minimum-length reflection factorizations belong to the same Hurwitz orbit. Based on joint work with Joel Brewster Lewis.

Keywords: complex reflection group, Hurwitz orbit.

PDF of Abstract

Time: Friday, November 12, 2021, 12:30pm – 1:30pm