Stat. Field Theory Course

Noncommutative geometry

Ludwik Dabrowski


This is an invitation to explore the `quantum' geometry. The starting point will be a formulation of such structures on a `classical' space X like group, topological, differential, Riemannian or spin, in terms of (commuting) algebra of functions F(X). Next a generalization to noncommutative algebras will be indicated and illustrated by a number of selected examples which are of interest in mathematical physics and link to some open research problems.

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