25.07.2024, 16:30
– Raum 0.14
Forschungsseminar Differentialgeometrie
Dirac eigenvalues, hyperspherical radius and applications
Christian Bär (UP)
Alberto Richtsfeld
In this talk, I will present a slightly generalized version of the Atiyah-Patodi-Singer Index Theorem for Differential Operators with normal adapted boundary operators. This will lead to a version of the APS-Theorem, which can be formulated for all Differential operators. We then continue to discuss a strategy to find a local index density for the Rarita-Schwinger Operator, based on the proofs of Gilkey and Atiyah, Bott, Patodi for the local index theorem.