CORDIS Project
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This project focuses on computing the homology of labeled configuration spaces in mathematics, addressing long-standing challenges in the field. By combining new theoretical methods with geometric approaches, it aims to advance understanding in stable homotopy theory and related areas.
The goal of this project is to produce new computations of the mod p homology of labelled configuration spaces of a general manifold with labels in an arbitray spectrum.
These computations have remained outstanding challenges for decades except in special cases.
Recently developed techniques in stable homotopy theory, including spectral Lie algebras and synthetic homotopy theory, have proven to be useful in understanding the algebraic structure on the homology groups of labelled configuration sp…
KOBENHAVNS UNIVERSITET
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