Formality and Lusztig's generalized Springer correspondence

2017/08/25 by Rider, Laura, Russell, Amber
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1708.07783

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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