Upcoming Events
CAGS: Hurwitz action in complex reflection groups
Nov 12, 2021, 12:30 - 1:30 PM
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.
Time: Friday, November 12, 2021, 12:30pm – 1:30pm
