REPRESENTATION
THEORY AND RELATED TOPICS SEMINAR
ABSTRACT: We study the exotic t-structure on Dn, the derived category of coherent sheaves on the Springer fiber for a two-block nilpotent (i.e. for a nilpotent matrix of type (m+n, n) in type A). Exotic t-structures were introduced by Bezrukavnikov and Mirkovic in order to study representations of Lie algebras in positive characteristic. Using work of Cautis and Kamnitzer, we construct functors between these categories Dn, indexed by affine tangles. We use these functors to enumerate the irreducibles in the heart of Dn by crossingless matchings, and compute the Ext's between these irreducibles. This is joint with R. Anno.
For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html or contact Alex Martsinkovsky alexmart >at< neu >dot< edu