2-3 Dec 2019 Marseille (France)

Trending topics in spectral theory

The workshop, which is part of the "Journées thématiques d'Analyse Appliquée" series, will take place at the FRUMAM, on the Saint-Charles campus of the University Aix-Marseille, on Monday, 2 December 2019, in the afternoon and on Tuesday, 3 December 2019, in the morning.

The workshop will consist of a two and a half-hour mini-course, given by Monique Dauge (Rennes), and three 45-minutes talks, delivered by Vladimir Lotoreichik (Prague), Nicolas Raymond (Angers), and Eric Soccorsi (Marseille)

The participation to the workshop is free of charge. Participants are kindly requested to fill up the form before Wednesday, 27 November 2019, especially if they wish to join the lunch on Tuesday.

 

Schedule

Monday, 2 December 2019

The talks will take place in the seminar room on the 3rd floor.

13:30-14:00: Welcome

14:00-14:45: Monique Dauge

Title: TBA (1)

Abstract: TBA

15:00-16:00: Monique Dauge

Title: TBA (2)

16:15-17:00: Eric Soccorsi

Title: Multidimensional Borg-Levinson inverse spectral problems

Abstract: This talk is concerned with the uniqueness and the stability issues in the inverse problem of determining the electric potential of the multidimensional Laplace operator (dimension 2 or greater) by partial knowledge of the boundary spectral data. As an application, the multidimensional Borg-Levinson inverse spectral theory is used to retrieve the potential from partial parabolic Dirichlet-to-Neumann operator measured at a given time.

 

Tuesday, 3 December 2019

The talks will take place in the seminar room on the 2nd floor.

9:00-9:45: Monique Dauge

Title: TBA (3)

10:15-11:00: Vladimir Lotoreichik

Title: Optimization of principal Robin eigenvalues on 2-manifolds and unbounded cones.

Abstract can be found here.

11:10-11:55: Nicolas Raymond

Title: A first formula of pure magnetic tunnel effect.

Abstract: The semiclassical magnetic Neumann Schrödinger operator on a generic, smooth, bounded, and simply connected domain of the Euclidean plane is considered. When the domain has a symmetry axis, the semiclassical splitting of the first two eigenvalues is analyzed. 

The first explicit tunneling formula in a pure magnetic field is established. The analysis is based on a pseudo-differential reduction to the boundary and the proof of the first known optimal purely magnetic Agmon estimates. 

Joint work with V. Bonnaillie-Noël and Frédéric Hérau

 

Organizers: Thomas Ourmières-Bonafos, Enea Parini

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