23.10.2025, 16:15 Uhr
– Building 9, Room 1.22, Golm
Forschungsseminar Differentialgeometrie
Spinorial proofs of the positive mass theorem
Rudolf Zeidler
Alexander Strohmaier
I will review some known general expansions of microlocal spectral counting functions of Dirac and Laplace operators. In special cases these relate directly to heat kernel coefficients. I will then explain some differences between expansions for Laplace and Dirac type operators and show that generalized Dirac operators can be characterized amongst Dirac type operators by the vanishing of a certain coefficient appearing in the expansion of the spectral counting function. (Joint work with Liangpan Li)