On the excursion algebra
Algebraic Geometry
2026-02-13 v1
Abstract
The excursion algebra associated to a scheme X over a finite field and a reductive group G is the algebra of global functions on the stack of arithmetic G-local systems on X. When X is a curve, this algebra acts on the space of automorphic functions. In this paper we establish some basic properties of this algebra.
Cite
@article{arxiv.2602.11343,
title = {On the excursion algebra},
author = {Dennis Gaitsgory and Kevin Lin and Wyatt Reeves},
journal= {arXiv preprint arXiv:2602.11343},
year = {2026}
}