Bonn Topology Group - Abstracts

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Talk

CONSTANZE ROITZHEIM (Kent): Modular Rigidity of E-local Spectra (13 November 2012)

Abstract

One key objective in stable homotopy theory is finding Quillen functors between model categories. Stable frames provide a way to construct and classify Quillen functors from spectra to any given stable model category. Furthermore, they equip the homotopy category of a stable model category with a module structure over the stable homotopy category Ho(Sp). We will investigate how this is compatible with Bousfield localisations and how it can be used to study the deeper structure of the stable homotopy category. We will then see that the Ho(Sp)-module structure completely determines the homotopy type of the E-local stable homotopy category for any homology theory E.

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