Vortragsankündigung
Im Rahmen des Oberseminars Analysis/Numerik spricht
Frau Cipriana Anghel (Universität Göttingen)
über
On the spectrum of the Dirac operator on degenerating Riemannian surfaces
We study the behavior of the spectrum of the Dirac operator on degenerating families of compact Riemannian surfaces, when the length of a simple closed geodesic shrinks to zero, under the hypothesis that the spin structure along the pinched geodesic is nontrivial. The difficulty of our problem stems from the non-compactness of the limit surface, which is of finite area with two cusps. The main step in this investigation is to construct an adapted pseudodifferential calculus (in the spirit of the celebrated balgebra of Melrose) which includes both the family of Dirac operators on the family of compact surfaces and the Dirac operator on the limit (non-compact) surface, together with their resolvents.
Der Vortrag findet statt am
Donnerstag, 27.06.2024 um 14.15 Uhr im Raum W01 0-006
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