Title: Local Hodge theory of Soergel bimodules
2014.04.14 |
| Date | Wed 30 Apr |
| Time | 14:15 — 15:15 |
| Location | Aud. D3 |
Abstract
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.
