Abstract for the talk at 08.05.2014 (16:45 h)Working Seminar VARIOGEO
Nadine Große (Mathematisches Institut, Universität Leipzig)
The Lp-spectrum of the Dirac operator
We study the Lp-spectrum of the Dirac operator on complete manifolds. One of the main questions in this context is whether this spectrum is p-independent. As a first example where p-independence fails we compute explicitly the Lp-spectrum for the hyperbolic space and its product spaces. Moreover, we give general results on the Green functions and the symmetry of the Lp-spectrum of Dirac operator. This is joint work with Bernd Ammann (Regensburg).