Perverse sheaves on affine flags and langlands dual group

作者:Arkhipov Sergey*; Bezrukavnikov Roman
来源:Israel Journal of Mathematics, 2009, 170(1): 135-183.
DOI:10.1007/s11856-009-0024-y

摘要

This is the first in a series of papers devoted to describing the category of sheaves on the affine flag manifold of a simple algebraic group in terms of the Langlands dual group. In the present paper we provide such a description for categories which are geometric counterparts of a maximal commutative subalgebra in the Iwahori Hecke algebra R; of the anti-spherical module for R; and of the space of Iwahori-invariant Whittaker functions. As a byproduct we obtain some new properties of central sheaves introduced in [G].

  • 出版日期2009-3