Detailed information about the course

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Title

Introduction à la géométrie du problème de Steklov

Dates

automne 2018

Organizer(s)

Bruno Colbois et la participation de Christiane Tretter.

Speakers

Alexandre Girouard, Professeur, Université Laval (Québec) Exposés par d’autres participants ou enseignants locaux possibles

Description

Résumé du cours: The Steklov problem is an eigenvalue problem with the spectral parameter in the boundary conditions, which has various applications. Its spectrum coincides with that of the Dirichlet-to-Neumann operator. Over the past years, there has been a growing interest in the Steklov problem from the viewpoint of spectral geometry. While this problem shares some common properties with its more familiar Dirichlet and Neumann cousins, its eigenvalues and eigenfunctions have a number of distinctive geometric features, which makes the subject especially appealing. In this survey we discuss some recent advances and open questions, particularly in the study of spectral asymptotics, spectral invariants, eigenvalue estimates, and nodal geometry. Remarque: un objectif est de rapprocher à cette occasion les groupes de B. Colbois et C. Tretter.

Location

Neuchâtel et Berne

Information
Places

10

Deadline for registration 15.09.2018
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