Description
Spectral triples provide a noncommutative analogue of spin manifolds and play a central role in noncommutative geometry. While the compact Riemannian case is well understood, far less is known in the noncompact pseudo-Riemannian setting. In this talk, I will present the construction of an indefinite spectral triple for the Lie group SU(1,1), highlighting the role of representation theory in the construction. Moreover, I will explain how this example acts as a stepping stone towards a spectral triple for the quantum group SUq(1,1). This talk is based on arXiv:2601.22171.
Author
Jort de Groot
(University of Amsterdam)