332 citations · 484 across the 15 of their papers we have counts for
8 papers · 1 filter
K-motives, Springer Theory and the Local Langlands Correspondence
Jens Niklas Eberhardt
We construct a geometric realization of categories of representations of affine Hecke algebras and split reductive -adic groups via a -motivic Springer theory. We suggest a c…
Standard Extension Algebras I: Perverse Sheaves and Fukaya Calculus
Jens Niklas Eberhardt, Catharina Stroppel
In this first of a series of articles on standard extension algebras we study standard perverse sheaves on varieties with -actions. Based on Braden's hyperbolic local…
K-theory Soergel Bimodules
Jens Niklas Eberhardt
We initiate the study of K-theory Soergel bimodules-a K-theory analog of classical Soergel bimodules. Classical Soergel bimodules can be seen as a completed and infinitesimal versi…
Motivic Springer Theory
Jens Niklas Eberhardt, Catharina Stroppel
We show that representations of convolution algebras such as Lustzig's graded affine Hecke algebra or the quiver Hecke algebra and quiver Schur algebra in (affine) type A can be re…
K-Motives and Koszul Duality
Jens Niklas Eberhardt
We construct an ungraded version of Beilinson-Ginzburg-Soergel's Koszul duality for Langlands dual flag varieties, inspired by Beilinson's construction of rational motivic cohomolo…
Springer Motives
Jens Niklas Eberhardt
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 deri…