[AN] Michal Wrochna: Spectral theory of Laplace-Beltrami and Dirac operators in Lorentzian signature

14 mei 2024 16:00 t/m 17:00 - Locatie: EEMCS Lecture hall Chip | Zet in mijn agenda

It has been discovered relatively recently that the Laplace-Beltrami (or wave) operator on Lorentzian has a reasonable spectral theory despite being not elliptic. I will give an overview of recent results, explain their relationship with tools from microlocal analysis and sketch applications in Quantum Field Theory and non-commutative geometry. I will also discuss new results on Dirac operators D on a Lorentzian spin manifold (joint work with N. V. Dang and A. Vasy).