2025/05/30 by Peter Scholze, Scholze, Peter · 1 citation
Agricultural and Biological Sciences · #14F25 #53D37 #55N30 #African Botany and Ecology Studies #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Number Theory (math.NT) #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2505.24599
openalex publication_date 2025/05/30 · openalex created_date 2025/10/06 · openalex updated_date 2026/07/28
In this note, we consider the problem of constructing an enlargement of the category of Betti sheaves that supports an ``exponential local system'' on \mathbb R, and a Fourier equivalence defined on all sheaves. We show that there is a universal solution, recovering a construction of Tamarkin known also as ``enhanced sheaves''. The universality property implies that the category of coefficients of this theory is, in a suitable sense, a nontrivial \mathbb R>0-torsor over Spec(\mathbb Z).