Intersection cohomology of Drinfeld‚s compactifications

A Braverman
M Finkelberg
D Gaitsgory
I Mirkovic, University of Massachusetts - Amherst

Article comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/2yld5dhl26newqp2/

Abstract

Let X be a smooth complete curve, G be a reductive group and a parabolic. Following Drinfeld, one defines a (relative) compactification of the moduli stack of P-bundles on X. The present paper is concerned with the explicit description of the Intersection Cohomology sheaf of . The description is given in terms of the combinatorics of the Langlands dual Lie algebra .