Proof of the Broue Malle Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin G. Pfeiffer)
We explain a proof of the Broue Malle Rouquier conjecture on Hecke algebras of complex reflection groups, stating that the Hecke algebra of a finite complex reflection group W is free of rank |W| over the algebra of parameters, over a field of characteristic zero. This is based on previous work of Losev, Marin Pfeiffer, and Rains and the author.