# Springer Motives

## TL;DR

This paper proves that Springer fiber motives are pure Tate and establishes an equivalence between equivariant Springer motives and the derived category of graded modules over the graded affine Hecke algebra.

## Contribution

It introduces a category of equivariant Springer motives and constructs an equivalence to a derived category of graded modules, linking geometric and algebraic structures.

## Key findings

- Springer fiber motives are pure Tate.
- Equivalence between equivariant Springer motives and graded affine Hecke algebra modules.
- Provides a new categorical framework connecting geometry and algebra.

## 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.