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Formality and Lusztig's generalized Springer correspondence (1708.07783v1)
Published 25 Aug 2017 in math.RT
Abstract: We prove a derived equivalence between each block of the derived category of sheaves on the nilpotent cone and the category of differential graded modules over a degeneration of Lusztig's graded Hecke algebra. Along the way, we construct and study a mixed version of the geometric category. This work can be viewed as giving a derived version of the generalized Springer correspondence.
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