Ma 140 b: Noncommutative Geometry, Part I

Winter 2010, Caltech Math Department, SLN 153, Tuesday-Thursday 1:00-2:30 pm. Instructor: Matilde Marcolli

Brief Course Description

This will be a first introductory course on noncommutative geometry, which will include a quick review of the needed notions from operator algebra and a detailed discussion of the main tools such as cyclic cohomology, spectral triples, KMS states, and with a focus on examples of noncommutative spaces of relevance to physics.


140a is recommended, but a course in quantum mechanics also constitutes a valid prerequisite: both mathematics and physics students are encouraged to attend.



The course is accompanied by a research seminar dedicated to various aspects of noncommutative geometry. The seminar meets Thursdays 3:30-4:30pm in SLN 151.

Outline of classes

Suggested reading material