TL;DR
This paper provides a modular framework to describe the maximally unramified extension of a specific cohomology theory, connecting algebraic topology with elliptic curve theory.
Contribution
It introduces a novel modular description of the unramified extension of ER(2) using supersingular elliptic curves with level structures.
Findings
Description of ER(2) extension via supersingular elliptic curves
Connection between algebraic topology and elliptic curve modular forms
New insights into the structure of Real Johnson-Wilson theories
Abstract
We give a description of the maximally unramified extension of completed second Real Johnson-Wilson theory using supersingular elliptic curves with -level structures.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology