CORDIS Project
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This project aims to advance algebraic topology techniques by applying them to quantized systems from dynamical systems and quantum groups. It focuses on developing new methods using triangulated categories and homotopy theory, offering insights into significant mathematical problems and applications in solid-state phy…
The pervasive role of algebraic topology in mathematics is proof of the powerful effects that homological invariants produce in the development of the discipline.
Extending these techniques beyond the category of topological spaces, in order to include ""quantized"" systems arising from dynamical systems and (quantum) groups, is going to be extremely useful to make fast progress in these fields.
The framework of operator algebras and noncommutative geometry is extremely well-suited for these dev…
UNIVERSITETET I OSLO
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