Seminar series
Date
Tue, 27 Nov 2007
13:00
13:00
Location
L1
Speaker
Olivier Schiffmann
Organisation
ENS
We provide a realization of Cherednik's double affine Hecke
algebras (for GL_n) as a convolution algebra of functions on moduli spaces
of coherent sheaves on an elliptic curve. As an application we give a
geometric construction of Macdonald polynomials as (traces of) certain
natural perverse sheaves on these moduli spaces. We will discuss the
possible extensions to higher (or lower !) genus curves and the relation
to the Hitchin nilpotent variety. This is (partly) based on joint work
with I. Burban and E. Vasserot.