Spectral functions of Dirac operators

12.11.2015, 16:15 Uhr  –  Campus Golm, Haus 9, Raum 1.11
Forschungsseminar Differentialgeometrie

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)