M27. Inverse Problems in Scattering Theory and Geometry

Inverse scattering problems and geometrical inverse problems are classical and active subfields of inverse problems. The aim in inverse scattering theory is to recover information about some unknown medium or potential function from measurements conducted far away. Correspondingly, often in geometrical inverse problems the measurement is conducted at the boundary of a region of interest. Both fields have recently seen many breakthroughs, especially in the non-linear setting.

This mini-symposium aims to collect both experts and newcomers from different fields studying scattering theory and geometrical inverse problems. Both theoretical and numerical sides of the problems are welcome.

Organizers:
Matti Lassas, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Teemu Tyni, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.

Speakers (in alphabetical order):
Tracey Balehowsky, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Determining a Lorentzian metric from the source-to-solution map for the relativistic Boltzmann equation

Jinpeng Lu, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Stability of the Gelfand inverse boundary spectral problem

Petri Ola, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Scattering of electromagnetic waves from negative media

Teemu Tyni, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse scattering problems for the biharmonic operator

 

 

PLENARY SPEAKERS

Prof. Dr. Liliana Borcea

University of Michigan, USA
http://www-personal.umich.edu/~borcea/

Inverse scattering in random media, Electro-magnetic inverse problems, Effective properties of composite materials, transport in high contrast, heterogeneous media

Prof. Dr. Bernd Hofmann

Chemnitz University of Technology, Germany
https://www.tu-chemnitz.de/mathematik/inverse_probleme/hofmann/?en=1

Regularization of inverse and ill-posed problems

Prof. Dr. John C Schotland

Yale University, USA
https://gauss.math.yale.edu/~js4228/

Inverse problems with applications to imaging, Scattering theory, Waves in random media, Nano-scale optics, Coherence theory and quantum optics

Prof. Dr. Erkki Somersalo

Case Western Reserve University, USA
https://mathstats.case.edu/faculty/erkki-somersalo/

Computational and statistical inverse problems, Probabilistic methods for uncertainty quantification, Modeling of complex systems, Biomedical applications

Prof. Dr. Gunther Uhlmann

University of Washington, USA
https://sites.math.washington.edu/~gunther/

Inverse problems and imaging, Partial differential equations, Microlocal analysis, Scattering theory

Prof. Dr. Jun Zou

The Chinese University of Hong Kong, Hong Kong SAR
https://www.math.cuhk.edu.hk/~zou/

Numerical solutions of electromagnetic Maxwell systems and interface problems, inverse and ill-posed problems, preconditioned and domain decomposition methods