CORDIS Project
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This project explores the chromatic decomposition of spaces in stable homotopy theory, focusing on monochromatic pieces and their structural relationships. It aims to develop a theory of spectral Lie algebras and their application to understanding these spaces and their interactions.
Many current developments in stable homotopy theory are guided by the ‘chromatic perspective’.
One decomposes a spectrum into its monochromatic pieces, each of which is a localization corresponding to one of the prime fields of higher algebra (the Morava K-theories, generalizing the prime fields Q and F_p of ordinary algebra).
The goal of this proposal is to study the chromatic decomposition of spaces, as opposed to that of spectra. I will establish structural results for the category of all mon…
UNIVERSITEIT UTRECHT
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