M12. Electrical Impedance Tomography: Theory and Applications

Electrical impedance tomography (EIT) is an imaging modality that consists in the determination of the electrical conductivity distribution inside a body from current and voltage measurements on its boundary. Applications include medical imaging, nondestructive testing and geophysical prospecting. Its mathematical formulation was proposed by A.P. Calderon in 1980 and it has triggered a huge amount of research since then. On the theoretical side, the main issue has been to prove uniqueness of the related inverse problem, namely, the injectivity of the measurement or forward map. Concerning applications, EIT faces major numerical hurdles, since the problem is severely ill-posed. In order to mitigate this instability, strategies ranging from regularization methods to compressed sensing and machine learning have been employed.

In this minisymposium, we are gathering experts of EIT and of the Calderon's problem to share recent theoretical and numerical/applied insights.

Organizers:
Matteo Santacesaria, University of Genoa, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Giovanni S. Alberti, University of Genoa, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers (in alphabetical order):

Giovanni S. Alberti, University of Genoa, Italy,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Elena Beretta, NYU Abu Dhabi, Politecnico di Milano, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Lipschitz stable determination of polygonal and polyhedral conductivity inclusions from boundary data

Valentina Candiani, Aalto University, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Machine learning approach for stroke detection in electrical impedance tomography

Yuwei Fan, Stanford University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Deep neural networks for electrical impedance tomography

William Lionheart, The University of Manchester, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.

Bastian Harrach, Goethe University Frankfurt, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Global convergence and stable invertibility for a Robin transmission problem with finitely many measurements

Ivan Pombo, University of Aveiro, Portugal, This email address is being protected from spambots. You need JavaScript enabled to view it.
Electrical Impedance Tomography: the case of complex conductivity with a jump

Luca Rondi, University of Milan, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Interior decay of solutions to elliptic equations

Manuchehr Soleimani, University of Bath, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inwater handwriting using dynamical EIT

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