Spectral triples and Noncommutative Metric Spaces

Joachim Zacharias (University of Glasgow)

Tuesday 22nd October, 2013 15:00-16:00 Maths 203


Spectral triples are a fundamental concept in noncommutative Geometry with wide ranging applications in Mathematics and Physics including Quantum Gravity. They can be regarded as non commutative analogues of elliptic operators.

We will give a brief introduction to the concept of spectral triples and their regularity properties. An important problem is the existence and construction of spectral triples on concrete C*-algebras or classes of C*-algebras. We will present numerous standard examples of spectral triples and discuss some new constructions of spectral triples with various regularity properties starting from given ones, e.g. on extensions and crossed products.

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