University of Sydney Algebra Seminar

Arik Wilbert (University of Melbourne)

Friday 14 September, 12-1pm, Place: Carslaw 375

Exotic Springer fibers and two-boundary Temperley-Lieb algebras

We study the geometry and topology of a certain family of exotic Springer fibers from an explicit, diagrammatic point of view. These algebraic varieties appear as the fibers under a resolution of singularities of the exotic nilpotent cone which plays a prominent role in Kato’s Deligne-Langlands type classification of simple modules for multiparameter Hecke algebras of type C. We describe our results in terms of the combinatorics of the two-boundary Temperley-Lieb algebra. This provides the general framework to construct geometric versions of Khovanov’s arc algebra arising from exotic Springer fibers. This is joint work with Neil Saunders.