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Inverse scattering and electrical impedance tomography have been a very active field of applied mathematics in recent years. New trends have emerged that have allowed to obtain further insights and encouraging results for well established and fascinating inverse problems. The minisymposium focuses on recent developments and innovative contributions in this direction, considering theoretical results and numerical algorithms as well as their application to specific real world problems. The topics of the talks range from scattering by wave guides, over non-iterative reconstruction methods for electrical impedance tomography and their generalizations to inverse scattering, to time-dependent inverse scattering problems.