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Séminaire de EDP - Physique Mathématique

Eigenvalue asymptotics for two dimensional magnetic Dirac operators

Pablo Miranda

( Université de Santagio, Chili )

Salle de conférences

le 28 mai 2024 à 11:00

In this talk, we present results on the eigenvalue distribution for perturbed magnetic Dirac operators in two dimensions. We derive third-order asymptotic formulas that incorporate a geometric property of the perturbation's support. Notably, our approach allows us to consider some perturbations that do not necessarily have fixed sign, which is one the main novelties of our work.

This is part of a joint work together with Vincent Bruneau.