Vortragsankündigung

Im Rahmen des Oberseminars Analysis/Numerik spricht

Herr Eric Trébuchon 

(Universität Freiburg)

THE DIRAC OPERATOR ON CONICAL DOMAINS

Abstract "This talk is about self-adjointness and regularity of the Dirac operator with boundary values on domains with singularities. We first review known results on twodimensional corner domains and on convex domains with MIT-boundary conditions. We extend this theory to higher-dimensional conical domains with generic local boundary conditions

The key idea is to locally transform the Dirac operator under general boundary conditions on a conical domain near the singularities into a perturbed Dirac operator under MIT boundary conditions on the model cones. This process introduces a perturbation that can be handled via the Kato-Rellich Theorem. In the model case, the theory relies heavily on the separation ansatz and a spectral gap on the link of the cone, which ultimately ensures self-adjointness and regularity."

Der Vortrag findet statt am

Donnerstag, den 09.07.2026 um 14.30 Uhr im Raum W01 1-117

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