David Bessis (Ecole Normale Superieure, and RIMS, Kyoto Univ. )
A combinatorial theory for well-generated complex reflection groups

Coxeter systems are extremely powerful tools in the study of finite real reflection groups, their associated braid groups and many related objects. Coxeter theory does not generalise to complex reflection groups, but there exists an alternate theory, providing an effective substitute applicable to a wide class of complex reflection groups. We will describe the main features of this new combinatorial theory, as well as some topological applications.