CORDIS Project
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This project investigates the homotopy properties of commuting elements in compact Lie groups, aiming to establish connections with algebraic geometry. It focuses on stable homology and seeks to uncover new insights into these mathematical structures.
In this project we propose to study homotopy theoretic properties of spaces of commuting elements in compact Lie groups.
These spaces play an essential role in mathematical physics and geometry, but only in the last decade a systematic study by homotopy theoretic methods has been initiated.
Important open questions in the field concern the homology as well as the (stable) homotopy type.
In the first part of the project, we attempt to prove a conjectural stable splitting theorem, which would esta…
KOBENHAVNS UNIVERSITET
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