2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139372We construct a microlocalization of the rational Cherednik algebras $H$ of type $S_n$. This is achieved by a quantization of the Hilbert scheme $\Hilb^n\C^2$ 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.36 pages, minor corrections, to appear in Duke Math. JournalRepresentation TheoryAlgebraic GeometryQuantum Algebra16G89, 53D55; 14C05text