# Notes on the geometric Satake equivalence

## TL;DR

This paper provides a detailed exposition of the proof of the Geometric Satake Equivalence for general coefficients, elaborating on the foundational work by Mirkovic and Vilonen.

## Contribution

It offers an in-depth, accessible proof of the Geometric Satake Equivalence applicable to a broad class of coefficients, expanding on prior expositions.

## Key findings

- Clarifies the proof of the Geometric Satake Equivalence.
- Extends the equivalence to general coefficients.
- Provides detailed mathematical exposition.

## Abstract

These notes are devoted to a detailed exposition of the proof of the Geometric Satake Equivalence for general coefficients, following Mirkovic-Vilonen.