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

14 May 2024 16:00 till 17:00 - Location: EEMCS Lecture hall Chip | Add to my calendar

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).