CORDIS Project
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This project explores the geometric structure of categories in topology and algebra, introducing the concept of chromatic category to unify various mathematical theories. It aims to enhance understanding of local and global principles, leading to advancements in key algebraic conjectures.
This project studies the local and global structure of fundamental categories in topology, algebra, and algebraic geometry from a geometric point of view.
Deep structural results have been proven in special cases, but the lack of a unified theory has prevented progress on several key conjectures, for example pertaining to local-to-global principles.
In a first step, we introduce the concept of chromatic category, which axiomatizes certain properties found on the derived category of quasi-coheren…
KOBENHAVNS UNIVERSITET
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