An overview of abelian varieties in homotopy theory

2008/10/02 by Lawson, Tyler
#55N20 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.0507

Abstract

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."

Related

• Algebraic theory of abelian groups
• Abelian varieties and the Kervaire invariant
• On homotopy varieties
• A¹-homotopy theory and contractible varieties: a survey
• Abelian Theory