An overview of abelian varieties in homotopy theory

Mathematics – Algebraic Topology

Scientific paper

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36 pages, minor corrections, repaired errors in final formulas

Scientific paper

This is an expository article on the theory of formal group laws in homotopy
theory, with the goal of leading to the connection with higher-dimensional
abelian varieties and automorphic forms. These are roughly based on a talk at
the conference "New Topological Contexts for Galois Theory and Algebraic
Geometry."

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