2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223085Let $W$ be a complex reflection group. We formulate a conjecture relating blocks of the corresponding restricted rational Cherednik algebras and Rouquier families for cyclotomic Hecke algebras. We verify the conjecture in the case that $W$ is a wreath product of a symmetric group with a cyclic group of order $l$.Completely rewritten with updated conjecture and a proof of the conjecture for wreath products (thus incorporating the main result of arXiv:0804.2591)Representation Theory16G99; 16S38; 16S80; 20C08text