ICTP Mathematics Seminar - NEW DATE - Monday 13 February at 16:00

[Math Section]

M A T H E M A T I C S   S E M I N A R S   2017


Monday 13 February, at 16.00 hrs.


Stephen Griffeth  (Universidad de Talca, Chile)


Title:
Finite dimensional representations of Cherednik algebras


Abstract:
The rational Cherednik algebra associated with a complex reflection 
group W acting in a vector space V is a versal deformation of the 
algebra generated by W and differential operators on V. Its 
representation theory is closely connected to the geometry of the action 
of W of V.
The classification of the finite dimensional representations of the 
rational Cherednik algebra is a long-standing open problem. In the case 
of a real reflection group, Etingof has proved that part of this 
classification may be done using the Macdonald-Mehta integral and the 
b-function of the discriminant for W. We explain a new proof of 
Etingof's criterion that extends it to all complex reflection groups.
This is joint work with Daniel Juteau.



VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)