Intersection cohomology of Drinfeld‚s compactifications

• A. Braverman ^[1] ; M. Finkelberg ^[2] ; D. Gaitsgory ^[1] ; I. Mirković ^[3]
  1. [1] Harvard University

     Harvard University

     City of Cambridge, Estados Unidos

     
  2. [2] Indep. Moscow University, Rusia
  3. [3] U-Mass. at Amherst, Department of Mathematics and Statistics, USA

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 8, Nº. 3, 2002, págs. 381-418
• Idioma: inglés
• DOI: 10.1007/s00029-002-8111-5
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• Resumen

  • 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 .