Tuesday 22 March 2022, 16:00 - 17:00 in HG00.310
Teun van Nuland (University of New Mexico)
Cyclic cocycles in the spectral action
A noncommutative geometry (or, spectral triple) is a generalisation of a Riemannian spin manifold by operator algebraic language, which is becoming more and more prominent in physics. By use of a simple functional called the spectral action one can retrieve physical information from a noncommutative geometry, and thus describe gravity, the standard model of particle physics, and physics beyond. Together with Walter van Suijlekom I found an interesting new formula for the spectral action, which relates it to so-called cyclic cocycles. In this talk, I hope to give you a glimpse of the interesting geometry, algebra, and analysis involved.