Intersection cohomology of Drinfeld's compactifications

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

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)381-418
Number of pages38
JournalSelecta Mathematica, New Series
Volume8
Issue number3
DOIs
Publication statusPublished - 2002
Externally publishedYes

Keywords

  • Intersection cohomology
  • Moduli space of bundles
  • Plücker relations

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