Springer Motives

2018/12/12 by Eberhardt, Jens Niklas
#Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1812.04796

Abstract

We show that the motive of a Springer fiber is pure Tate. We then consider a category of equivariant Springer motives on the nilpotent cone and construct an equivalence to the derived category of graded modules over the graded affine Hecke algebra.

Related

• Motivic Springer Theory
• Formality for the nilpotent cone and a derived Springer correspondence
• Equivariant motives and geometric representation theory. (with an appendix by F. Hörmann and M. Wendt)
• K-motives, Springer Theory and the Local Langlands Correspondence
• Formality and Lusztig's generalized Springer correspondence