| Orateur(s) | Geordie WILLIAMSON - Oxford University,
|
| Titre | Some geometric constructions of link homology |
| Date | 23/04/2009 |
| Horaire | 10:30 à 11:30 |
|
| Diffusion | |
| Résume | Abstract: Triply graded link homology (introduced by Khovanov and Rozansky) is a categorification of the HOMFLYPT polynomial. In this talk I will discuss recent joint work with Ben Webster which gives a geometric construction of this invariant in terms of equivariant constructible sheaves. In this framework the Reidemeister moves have quite natural geometric proofs. A generalisation of this construction yields a categorification of the colored HOMFLYPT polynomial, constructed (conjecturally) by Mackaay, Stosic and Vaz. I will also describe how this approach leads to a natural formula for the Jones-Ocneanu trace in terms of the intersection cohomology of Schubert varieties in the special linear group. |
| Salle | 11 rue Pierre et Marie Curie - 75005 Paris |
| Adresse | |
