Matrix factorizations for discriminants of pseudo-reflection groups

Abstract: In this talk we will give an introduction to the McKay correspondence for complex reflection groups (joint work with Ragnar Buchweitz and Colin Ingalls), and then show how this allows to identify certain matrix factorizations of the discriminants of these reflection groups. We will in particular consider the family of pseudo-reflection groups G(r,p,n), for which one can explicitly determine matrix factorizations, using higher Specht polynomials (work in progress with Colin Ingalls, Simon May, and Marco Talarico).

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html