October 31-November 4, 2022

- Plamen Stefanov (Purdue University)
- Gunther Uhlmann (University of Washington, Seattle and HKUST, Hong Kong)
- Fioralba Cakoni (Rutgers, USA)
- Vesselin Petkov (Bordeaux, France)

This workshop will be devoted to recent advances in scattering and inverse scattering problems. The topics include scattering for the Schrodinger equation, obstacle and metric scattering, etc. Of particular interests are the location of the quantum resonances (scattering poles) and their relation to geometry of the problem; also, energy decay estimates. Geometric scattering studies similar questions on non-compact manifolds. Inverse scattering tries to reconstruct a unknown shape or a metric, a potential, etc., from scattering measurements.

Another important topic will be transmission eigenvalues. They are frequencies at which we can have incoming signals which do not scatter. The need to understand them is also motivated by the fact that they also appear in certain reconstruction methods.

Scattering and inverse scattering appear naturally in quantum mechanics and sonar and radar imaging.

- Time Schedule (PDF)

- Liliana Borcea (University of Michigan):

Waveform inversion with a data driven estimate of the internal wave - Kiril Datchev (Purdue University):

Low energy scattering asymptotics in dimension two - Semyon Dyatlov (MIT):

Microlocal analysis of internal waves in 2D aquaria

Slides - Jeffrey Galkowski (University College London):

Classical wave methods and modern gauge transforms: spectral asymptotics in the one dimensional case - Josselin Garnier (Ecole Polytechnique):

Radiative transfer equation for surface and body waves

Slides - Roland Griesmaier (Karlsruher Institut für Technologie):

Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies - Colin Guillarmou (Université Paris Saclay and CNRS):

Scattering theory in conformal field theory - Dietrich Häfner (Université Grenoble Alpes):

The Unruh state for massless fermions on Kerr spacetime and its Hadamard property

Slides - Isaac Harris (Purdue University):

Eigenvalue Problems for a Scatterer with a Conductive Boundary

Slides - Peter Hintz (ETH Zürich):

Mode stability and shallow quasinormal modes of Kerr-de Sitter black holes

Slides - Long Jin (Tsinghua University):

On the number of Pollicott-Ruelle resonances for open hyperbolic systems and Axiom A flows

Slides - Katya Krupchyk (University of California Irvine):

Fractional anisotropic Calderon problem on Riemannian manifolds - Andrea Mantile (Université de Reims):

On the origin of the Minnaert resonances

Slides - Jason Murphy (Missouri University of Science and Technology):

The scattering map determines the nonlinearity

Slides - Vesselin Petkov (University of Bordeaux):

Weyl asymptotics for the eigenvalues of dissipative operators and application to scattering

Slides - Wolfgang Ring (University of Graz)
- Antonio Sa Barreto (Purdue University):

Scattering for nonlinear wave equations

Slides - Johannes Sjöstrand (Université de Bourgogne):

Scattering for certain $\partial$, $\overline{\partial}$ systems - Andras Vasy (Stanford University):

The inverse problem for the geodesic X-ray transform on asymptotically conic spaces - Yiran Wang (Emory University):

Recovery of gravitational perturbations from the Cosmic Microwave Background - Jared Wunsch (Northwestern University):

Diffractive trapping and resonances on log curves - Jingni Xiao (Rutgers University):

On Nonscattering Anisotropic Inhomogeneities

Johann Radon Institute for Computational and Applied Mathematics (RICAM)

Austrian Academy of Sciences

Austrian Academy of Sciences

This page was last modified on 11/04/2022 - 11:22 CEST