26.04.2024, 15:00
– 2.09.0.14
Forschungsseminar: Gruppen und Operatoralgebren
Properties of affine cellular algebras
Christian Lomp (University of Porto)
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)