Noncommutative geometry, at its core, challenges the classical notion of a point by allowing coordinates to fail to commute. This alteration leads to a rich interplay between geometry and algebra, ...
Quantum metric spaces extend the classical notion of metric spaces into the noncommutative realm by utilising operator algebras and associated seminorms to capture geometric structure in settings ...
If there is a mathematician eagerly waiting for the Large Hadron Collider near Geneva to start up next year, it is Alain Connes of the Coll¿ge de France in Paris. Like many physicists, Connes hopes ...
Selected Projects • EXC 2044 - B3: Operator algebras & mathematical physics The development of operator algebras was largely motivated by physics since they provide the right mathematical framework ...
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