9 citations · 20 across the 6 of their papers we have counts for
9 papers
Action of the relative Weyl group on partial Springer sheaf
Tamanna Chatterjee, Laura Rider
In the context of the Springer correspondence, the Weyl group action on the Springer sheaf can be defined in two ways: via restriction or the Fourier transform. It is well-known th…
Exotic t-structure for partial resolutions of the nilpotent cone
Kei Yuen Chan, Laura Rider, Paul Sobaje
We define and study an exotic t-structure on the bounded derived category of equivariant coherent sheaves on partial resolutions of the nilpotent cone.
Modular affine Hecke category and regular unipotent centralizer
R. Bezrukavnikov, S. Riche, L. Rider
In this paper we provide, under some mild explicit assumptions, a geometric description of the category of representations of the centralizer of a regular unipotent element in a re…
Nearby cycles for parity sheaves on a divisor with simple normal crossings
Pramod N. Achar, Laura Rider
The first author recently introduced a "nearby cycles formalism" in the framework of chain complexes of parity sheaves. In this paper, we compute this functor in two related settin…
An Iwahori-Whittaker model for the Satake category
Roman Bezrukavnikov, Dennis Gaitsgory, Ivan Mirković +2
In this paper we prove, for G a connected reductive algebraic group satisfying a technical assumption, that the Satake category of G (with coefficients in a finite field, a finite…
Formality and Lusztig's generalized Springer correspondence
Laura Rider, Amber Russell
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 Lu…
Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence
Laura Rider, Amber Russell
In this note, we consider perverse sheaves on the nilpotent cone. We prove orthogonality relations for the equivariant category of sheaves on the nilpotent cone in a method similar…
The affine Grassmannian and the Springer resolution in positive characteristic
Pramod N. Achar, Laura Rider
An important result of Arkhipov-Bezrukavnikov-Ginzburg relates constructible sheaves on the affine Grassmannian to coherent sheaves on the dual Springer resolution. In this paper,…
Parity sheaves on the affine Grassmannian and the Mirković-Vilonen conjecture
Pramod N. Achar, Laura Rider
We prove the Mirković-Vilonen conjecture: the integral local intersection cohomology groups of spherical Schubert varieties on the affine Grassmannian have no p-torsion, as long as…