Geometric representations of rational Cherednik algebras
Zhiwei Yun (Massachusetts Institute of Technology)
MSRI: Simons Auditorium
Rational Cherednik algebras are (a degenerate version of) generalizations of Hecke algebras. We will construct finite-dimensional representations of these algebras from the cohomology of affine Springer fibers and Hitchin fibers with extra symmetry. We will also give a dimension formula for these representations. This is joint work with A.Oblomkov.