03.07.2025, 16:15
– Raum 1.22
Forschungsseminar Differentialgeometrie
Heat and resolvent expansions in the noncommutative case
Matthias Lesch (Bonn)
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)