Bonn Topology Group - Abstracts

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Talk

January 21st 2020
Piotr Pstrągowski (University of Warrick, Coventry, UK): Synthetic spectra

Abstract

To any reasonable homology theory one can associate a notion of a synthetic spectrum, their homotopy theory is in a precise sense a deformation of the derived category of quasi-coherent sheaves on a certain algebraic stack whose generic fibre is given by the category of spectra. In this talk, I will survey some of the applications of synthetic spectra, such as the problem of algebraicity of chromatic homotopy theory, or the classification of highly-connected manifolds by Burklund-Hahn-Senger.

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