54 citations · 259 across the 30 of their papers we have counts for
5 papers · 2 filters
Modular generalized Springer correspondence I: the general linear group
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we defi…
Differential operators on G/U and the affine Grassmannian
Victor Ginzburg, Simon Riche
We describe the equivariant cohomology of cofibers of spherical perverse sheaves on the affine Grassmannian of a reductive algebraic group in terms of the geometry of the Langlands…
Weyl group actions on the Springer sheaf
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
We show that two Weyl group actions on the Springer sheaf with arbitrary coefficients, one defined by Fourier transform and one by restriction, agree up to a twist by the sign char…
Iwahori-Matsumoto involution and linear Koszul Duality
Ivan Mirković, Simon Riche
We use linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exterior algebras studied in previous papers of the authors to give a g…
Linear Koszul Duality II - Coherent sheaves on perfect sheaves
Ivan Mirković, Simon Riche
In this paper we continue the study (initiated in a previous article) of linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exter…