SMS scnews item created by Ulrich Thiel at Wed 5 Sep 2018 0825
Type: Seminar
Distribution: World
Expiry: 17 Oct 2018
Calendar1: 14 Sep 2018 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Wilbert -- Exotic Springer fibers and two-boundary Temperley-Lieb algebras
Auth: thiel@p526m.pc (assumed)

# 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 Katoâ€™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.


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