TPM Lecture: The noncommutative geometry of the Standard Model.

Who: Andrzej Sitarz (Kraków)
When: Monday, December 18, 2017 at 14:15
Where: The CP³ meeting room

Share this pageShare on FacebookTweet about this on TwitterShare on LinkedInGoogle+

The Riemannian geometry of a spin manifold can be encoded in terms of the canonical spectral triple, determined by the Dirac spinors and the Dirac operator. Other (possibly reducible) spectral geometries for the manifolds include the Hodge-de Rham construction. Both of them can be characterised as certain equivalences for Clifford algebras. Generalizing these notions to noncommutative algebras, we can study the nature of the internal finite spectral triple in the almost commutative formulation of the Standard Model of fundamental particles and their interactions and the restrictions on the content of the models.