Analysis Seminar with Nicolas Raymond, Université d'Angers

Speaker: Nicolas Raymond, Université d'Angers

Title: Spectral asymptotics of the Neumann Laplacian with variable magnetic field on a smooth bounded domain in three dimensions

Abstract: This talk is devoted the semiclassical spectral analysis of the Neumann magnetic Laplacian on a smooth bounded domain in three dimensions. Under a generic assumption on the variable magnetic field (involving a localization of the eigenfunctions near the boundary), we establish a semiclassical expansion of the lowest eigenvalues. Thereby, we solve an open question from the Ph.D. thesis of the speaker and we complete a series of works started about 12 years ago in Denmark. If time permits, this talk will somewhat reveal the (Oeresund) bridge between two works that the speaker presented in Copenhagen (about the case with constant magnetic field in 3D, November 2022) and in Lund (about non-selfadjoint 2D magnetic Schrödinger operators, March 2023).

Joint work with Maha Aafarani, Khaled Abou Alfa and Frédéric Hérau.