# Springer fibers for 2-block nilpotents and category O

SPEAKER: Ben Webster

TITLE: Springer fibers for 2-block nilpotents and category O.

ABSTRACT: We will discuss the relationship between the geometry of the Springer fiber of a 2-block involution,

the corresponding parabolic (or singular) category O, and Khovanov’s algebra H^n. In particular,

we show how to construct the endomorphisms of a projective generator of parabolic category O using convolution on core components,

and an equivalence of categories between a natural subcategory of coherent sheaves on a resolution of the slice to the corresponding nilpotent

orbit, and a subcategory of a singular block of category O.