11.01.2025, 11:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis
Exploring quantum fields on rotating black holes
Christiane Klein (York University, UK)
Christian Brouder (Sorbonne Université, Paris)
Alain Connes' noncommutative geometry (NCG) is a powerful generalization of Riemannian geometry. Connes and collaborators showed that a Riemannian version of the standard model of particle physics could fit into the NCG framework.
Since the physical spacetime is Lorentzian and not Riemannian, a pseudo-Riemannian generalization of NCG has been a long-standing problem.
Such a generalization will be described in this talk. It is called indefinite noncommutative geometry (INCG) because the scalar product on a Hilbert space is replaced by an indefinite inner product (i.e. Hermitian form) on a Krein space. INCG are classified by two dimensions instead of one (the KO dimension). The INCG corresponding to the standard model in physical spacetime will be described.