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This lecture by Prof. Knut Müller-Caspary from LMU Munich explores the use of multidimensional transmission electron microscopy (TEM) for imaging electric fields, 3D shapes, and soft matter. The lecture covers topics such as momentum-resolved STEM, ultrafast detectors, atomic electric field mapping, polarisation field mapping, electron ptychography, and coincidence spectroscopy. It delves into interdisciplinary goals related to optoelectronics, nanotechnology, and fundamental science, showcasing applications in materials science and biology. The lecture also discusses techniques like chemical composition mapping, angle-resolved STEM, and energy-loss-dependent scattering, highlighting the potential for high-resolution imaging of soft matter and complex structures.