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Sheaves on moment graphs and Lusztig's conjectureGeometry/Topology
|Speaker:||Peter Fiebig, Erlangen University|
|Start time:||Tue, Oct 14 2014, 3:10PM|
In the talk I would like to state Lusztig's conjecture on the simple rational characters of reductive algebraic groups in positive characteristics. Then I would like to outline the proof of this conjecture (for "big enough" characteristics) that via the Andersen--Jantzen--Soergel category, moment graph sheaves and parity sheaves on affine Grassmannians. If time permits I would also like to talk about the recent counterexamples to the strongest form of Lusztig's conjecture by Geordie Williamson.