Algebra Seminar: Thiel -- Introduction to the Calogero-Moser vs. Kazhdan-Lusztig program

Ulrich Thiel (University of Sydney) 

Friday 31 March, 12-1pm, Place: Carslaw 375 

Title: Introduction to the Calogero-Moser vs.  Kazhdan-Lusztig program.  

Abstract: Long ago, it was discovered that Hecke algebras are an important tool in the
representation theory of finite groups of Lie type.  There are many invariants, like
Lusztig families and Kazhdan-Lusztig cells, which can be defined using Hecke algebras
and which help to bring some order to the representation theory.  In the last decade it
turned out that some of these invariants are also inherent to the representation theory
of rational Cherednik algebras and the geometry of Calogero-Moser spaces.  There are now
several results and conjectures about this correspondence, a real understanding is
missing so far, however.  In my talk I will give a short overview about this, mainly
focusing on one of the protagonists in the theory, the restricted rational Cherednik
algebra.