CORDIS Project
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This project explores stable homotopy theory, focusing on spectra as a generalization of abelian groups. It aims to advance understanding in algebra and topology, particularly through the chromatic approach, which connects local and global methods in homotopy theory.
Stable homotopy theory provides a powerful framework for the study of algebra in the homotopy coherent setting.
Its central notion is that of a spectrum, which is the homotopical generalization of an abelian group.
Spectra appear naturally in a wide range of mathematical fields from number theory to differential topology, as they encode in a highly structured fashion various fundamental invariants, such as the algebraic K-theory groups of a ring and the cobordism classes of manifolds.
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