Pramod N. Achar : Springer theory for complex reflection groups

A recurring theme in representation theory is the fact that many deep ideas and sophisticated structures attached to a reductive algebraic group are accessible via fairly elementary calculations in terms of its Weyl group. In recent years, it has been found that many of these calculations generalize to complex reflection groups, and behave as though they describe the representation theory of a ``nonexistent'' algebraic group. In this talk, I will discuss generalizations of the Springer correspondence to complex reflection groups, building on the ideas of T. Shoji and others. This is joint work with A.-M. Aubert.