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Local Hodge theory of Soergel bimodules

Geordie Williamson
(Max-Planck-Institut für Mathematik, Bonn)
Onsdag, 30 april, 2014, at 14:15-15:15, in Aud. D3 (1531-215)

I will discuss work in progress which establishes the local hard Lefschetz theorem and Hogde-Riemann bilinear relations for Soergel bimodules. The proof is similar in spirit but trickier than the global case (which was the subject of the master class at QGM last year). I will discuss some interesting new phenomena that arise, in particular the difficulty of describing the "hard Lefschetz locus". A corollary of local hard Lefschetz (using work of Soergel and Kübel) is an algebraic proof of the Janzten conjectures.

Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen