Michel Broué (Institut Henri-Poincaré)

Friday 10th and 17th February, 12.05-12.55pm, Carslaw 451, and Tuesday 21st February, 12.05-12.55pm, Carslaw 275

A construction of the generic Hecke algebra of a complex reflection group through monodromy

Each finite complex reflection group tends to behave like finite Coxeter groups. They have associated braid groups, nice presentations "à la Coxeter", and generic Hecke algebras. We shall present a general construction of the generic Hecke algebra using a generalisation of KZ-connection and associated monodromy representation of the associated braid group, following work of Cherednik, Dunkl, Opdam, Kohno, and Broué-Malle-Rouquier.