Resumen de Intersection cohomology of Drinfeld‚s compactifications

A. Braverman, M. Finkelberg, Dennis Gaitsgory, I. Mirković

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