# Global rigid inner forms vs isocrystals

## TL;DR

This paper compares two types of global Galois gerbes' cohomology and explores their implications for the theory of endoscopy in number theory.

## Contribution

It provides a detailed comparison of cohomology of global Galois gerbes from different constructions and applies these results to endoscopy theory.

## Key findings

- Established relationships between different cohomology theories
- Applied cohomology comparisons to endoscopy
- Enhanced understanding of global Galois gerbes

## Abstract

We compare the cohomology of the global Galois gerbes constructed in [Kot] and [Kal18a], respectively, and give applications to the theory of endoscopy.