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What is Overview of Chromatic Homotopy Theory about?

This document provides an overview of the Ravenel conjectures in chromatic homotopy theory. It introduces the conjectures and provides conceptual explanations rather than proofs. The conjectures posit the existence of self maps vn on spectra related to the mod p Moore spectrum and their iterates, which would provide infinite families of elements in the stable homotopy groups of spheres. Analogies to algebraic geometry are drawn to motivate these conjectures despite the lack of rigorous proofs. The goal is t

Author

Anonymous MNQ6iZ

Language

EN