Skip to main content

Rational Cherednik algebras, Hilbert schemes and combinatorics

Posted in
Speaker: 
Tomasz Przezdziecki
Affiliation: 
MPIM
Date: 
Fri, 2018-03-16 14:15 - 16:00
Location: 
MPIM Seminar Room

We will discuss the connection between cyclotomic rational Cherednik algebras at t=0 and the Hilbert scheme of points in the plane. In particular, we will explain how the spectrum of the centre of the rational Cherednik algebra is diffeomorphic to a certain component of the Hilbert scheme. Analyzing torus actions we will derive some combinatorial applications such as Bezrukavnikov and Finkelberg's proof of Haiman's conjecture about wreath MacDonald polynomials and a generalization of the q-hook formula.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A