M18: Microlocal Analysis in Inverse Problems

The focus of this minisymposium is on the new developments in the field of microlocal analysis with applications to inverse problems. The techniques from the microlocal analysis can be used to recover images in inverse scattering theory; hence, they have a great impact on problems related to seismology, Synthetic Aperture Radar (SAR) and Single Photon Emitted Computed Tomography (SPECT). In these problems, the forward operator, which maps the image to the data, is typically known and the goal is to invert it by applying to it the backprojection operator. In doing so, artifacts appear and the scope is to describe these artifacts, understand their strength and diminish their strength. We aim to bring together both leading experts in these fields, as well as young researchers.

Organizer:
Raluca Felea, Rochester Institute of Technology, USA, rxfsma@rit.edu

Invited Speakers (in alphabetical order):
Romina Gaburro, University of Limerick, Ireland, romina.gaburro@ul.ie
Microlocal analysis of Doppler SAR

Maarten V. de Hoop, Rice University, USA , mdehoop@rice.edu
Spectral rigidity for spherically symmetric manifolds with boundary

Jürgen Frikel, OTH Regensburg, Germany, j.frikel@gmx.de
Efficient wavelet-based reconstructions in tomography

Rohit Kumar Mishra, University of California, Santa Cruz, USA, rokmishr@ucsc.edu
A support theorem for integral moments of a symmetric m-tensor field

Lauri Oksanen, University College London, UK, l.oksanen@ucl.ac.uk
Inverse problem for Einstein-scalar field equations

Eric Todd Quinto, Tufts University, USA, todd.quinto@tufts.edu
Microlocal analysis in tomography

Plamen Stefanov, Purdue University, USA, stefanov@math.purdue.edu
Local boundary rigidity

Ian Wood, University of Kent, UK, i.wood@kent.ac.uk
Boundary triples and spectral information in abstract M-functions