25.04.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Atiyah-Singer-Indexsatz
Lennart Ronge (UP)
Medet Nursultanov
We investigate an asymptotic of the eigenvalues of the of the indefinite-weighted Laplace equation, $\Delta u = \lambda P u$, on the Riemannian manifold equipped with a rough metric. Namely, for the different boundary conditions, we prove the Weyl’s law for both negative and positive eigenvalues.