The workshop "Inverse problems and imaging" took place in Paris

at the Institut Henri Poincaré on February 20-22, 2013. It was

organized under the auspices of the French Mathematical Society

(SMF) as a session of the "États de la recherche". Its main

objective was to present recent developments on inverse problems

and imaging. Most of these developments result from interactions

between several domains of mathematics: analysis and control of

partial differential equations, stochastic analysis, statistics, multiscale

analysis. The three mini-courses given by Liliana Borcea

(University of Michigan, USA), Hyeonbae Kang (Inha University,

Korea), and Gunther Uhlmann (University of Washington, USA) can

be considered as perfect illustrations of these fruitful interactions.

Liliana Borcea addresses sensor array imaging in random media,

more exactly in randomly perturbed waveguides. She introduces

different imaging methods and study their resolution and stability

properties. In his lecture Hyeonbae Kang reviews recent progress on

imaging by generalized polarization tensors (GPTs), enhancement of

near-cloaking by GPT-vanishing structures, cloaking by anomalous

localized resonance, and analysis of stress concentration. He shows

how the Neumann-Poincaré operator naturally arises in all these

problems. Gunther Uhlmann considers transformation-optics based

cloaking in acoustic and electromagnetic scattering. He presents

various regularized approximate cloaking schemes.