University of Birmingham > Talks@bham > Algebra Seminar > Rational Cherednik algebras, Hilbert schemes of points and quantum Hamiltonian reduction

Rational Cherednik algebras, Hilbert schemes of points and quantum Hamiltonian reduction

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Simon Goodwin.

Type A Cherednik algebras Hc, which are particular deformations of the twisted group ring of the n-th Weyl algebra by the symmetric group Sn, form an intriguing class of algebras with many interactions with other areas of mathematics. A few years ago Gordon and I proved a sort of Beilinson-Bernstein equivalence of categories, thereby showing that Hc (or more formally its spherical subalgebra Uc) is a noncommutative deformation of the Hilbert scheme Hilb(n) of n points in the plane. This has significant applications to the representation theory of Uc and Hc.

More recently the three authors have shown how to relate this to the notion of quantum Hamiltonian reduction due to Gan and Ginzburg and this again has significant applications to the structure of Uc-modules and their associated varieties.

This talk is part of the Algebra Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on talks.cam from the University of Cambridge.