Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities

Details Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities

2007-11-13

arxiv.org/abs/0711.2083v5

Mathematics

Algebraic Geometry

Section 7 has been rewritten to correct previous mistakes

Scientific paper

This paper is the first in a series that describe a conjectural analog of the geometric Satake isomorphism for an affine Kac-Moody group. In this paper we construct a model for the singularities of some would-be Schubert varieties in the affine Grassmannian for an affine Kac-Moody group. We formulate a conjecture describing the (local) intersection cohomology of these varieties in terms of integrable representations of the Langlands dual affine Kac-Moody group and check this conjecture in a number of cases. Roughly speaking the above singularities are constructed by looking at the Uhlenbeck space of instantons on the quotient of the affine plane by a finite cyclic subgroup of SL(2).

Affiliated with

Also associated with

No associations

Rating

Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-529864