  In 1998 Brou\'e, Malle and Rouquier conjectured that the Hecke algebra of a
finite complex reflection group W is a free module over the algebra of
parameters of rank |W|. We give an exposition of a proof of this conjecture in
characteristic zero (and sufficiently large positive characteristic), due to I.
Losev and I. Marin - G. Pfeiffer.
