"Microlocalization of rational Cherednik algebras (joint work with
M.Kashiwara)"

    We construct a microlocalization of the rational Cherednik algebras
H of type S_n. This is achieved by a quantization of the Hilbert scheme
of n points in C^2. We then prove the equivalence of the category of
H-modules and the one of modules over its microlocalization under
certain conditions on the parameter.



Raphael Rouquier.