Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Sheaves on moment graphs and Lusztig's conjecture


Speaker: Peter Fiebig, Erlangen University
Location: 2112 MSB
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.