Topological modular and automorphic forms

2019/01/23 by Mark Behrens, Behrens, Mark · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1901.07990

openalex publication_date 2019/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article is a brief survey of the theory of topological modular forms (TMF) and the theory of topological automorphic forms (TAF). It will be a chapter in forthcoming "Handbook of Homotopy Theory" edited by Haynes Miller.

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• Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)
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Related

• Algebraic topology and modular forms
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• Automorphic forms: a physicist's survey
• Automorphic Forms and the Theta Correspondence
• Explicit Constructions of Automorphic Forms: Theta Correspondence and Automorphic Descent