Topological modular and automorphic forms
Mark Behrens
TL;DR
This paper surveys the theories of topological modular forms and automorphic forms, highlighting their roles in homotopy theory and their mathematical significance.
Contribution
It provides a concise overview of TMF and TAF theories, serving as a foundational chapter for the upcoming Handbook of Homotopy Theory.
Findings
Summarizes key concepts of TMF and TAF
Connects topological forms to homotopy theory
Prepares groundwork for future research
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models