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Bibliographic Details
Main Authors: Gaitsgory, Dennis, Lin, Kevin, Reeves, Wyatt
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.11343
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Table of Contents:
  • 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.