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A Plan to Prove Broué's Conjecture

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  • UserDavid Craven, Oxford University
  • ClockFriday 26 February 2010, 14:00-15:00
  • HouseMR13.

If you have a question about this talk, please contact Chris Bowman.

Broué’s conjecture is one of the fundamental conjectures in the representation theory of finite groups, the most structural of a raft of conjectures relating the representation theory of the group with that of various `local subgroups’, i.e., normalizers of non-trivial p-subgroups. In general there is no plan to tackle it, but the recent invention of perverse equivalences, giving an underlying geometric interpretation to the derived equivalences predicted by Broué’s conjecture, has given new impetus to the subject.

In this talk I will discuss local representation theory, Broué’s conjecture, perverse equivalences, and give some of the results that we can get using this new theory. (This is joint work with Raphaël Rouquier.)

This talk is part of the Junior Algebra and Number Theory seminar series.

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