|Location:||MSRI: Simons Auditorium|
Rational Cherednik algebras are close relatives of Hecke algebras, they appear in many places in Representation theory and beyond (Algebraic Geometry, Combinatorics, Integrable Systems, Knot theory etc.). In my talk I will concentrate on the Cherednik algebras for the symmetric groups and explain fundamental results on their representation
theory in characteristic 0. Then I will talk about the representation theory in large positive characteristic. This is a fascinating topic that gives a glimpse of what the "the double affine representation theory" should look like.