| Résume | Abstract: Broué's abelian defect group conjecture offers a structural explanation for some of the numerical coincidences seen in the representation theory of groups. Although many ``small'' cases have been understood, and there have been breakthroughs, the general case remains unassailable. In this talk I will describe a new approach, using perverse equivalences, which both brings the geometry of groups of Lie type to bear on the problem, and allows combinatorial descriptions of (some) derived equivalences. |
