# Spectral decomposition of genuine cusp forms over global function fields

## TL;DR

This paper extends the Langlands program to covers of reductive groups over global function fields, utilizing spectral decomposition and geometric Satake equivalence.

## Contribution

It proves a twisted geometric Satake equivalence and broadens the Langlands parametrization for certain group covers.

## Key findings

- Established a version of the twisted geometric Satake equivalence.
- Extended V. Lafforgue's Langlands parametrization to new group covers.
- Advanced the understanding of automorphic forms over function fields.

## Abstract

We prove a version of the twisted geometric Satake equivalence and extend the Langlands parametrization of V. Lafforgue to certain covers of reductive groups.