Algebra Seminar: Wilbert -- Exotic Springer fibers and two-boundary Temperley-Lieb algebras

Arik Wilbert (University of Melbourne) 

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

Title: Exotic Springer fibers and two-boundary Temperley-Lieb algebras 

Abstract: 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.