Algebra/Topology seminar – University of Copenhagen

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Algebra/Topology seminar

Tobias Barthel, On the boundary of chromatic homotopy theory

Abstract: Chromatic homotopy theory views the stable homotopy category as an enrichment of the category of abelian groups in which there is an infinite family of chromatic primes (n,p) interpolating between characteristic 0 and characteristic p. It has long been observed that the local structure at these primes becomes more algebraic when p tends to infinity, raising the question of how to construct and describe the corresponding limits. This talk is about joint work with Schlank and Stapleton that provides one way of studying the boundary of the stable homotopy category, using ideas inspired by mathematical logic.