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Geometric Thinking in Engineering and Applied Sciences

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If you have a question about this talk, please contact Alberto Padoan.

Geometry occupies a uniquely illustrious place in the history of science. Many critical and celebrated advances in physics and various fields of mathematics have been achieved by viewing problems through a geometric lens. Recent years have witnessed a growing interest in the application of differential geometry to problems arising in engineering. In particular, the exploitation of symmetries and geometric invariance has led to great advances in fields such as optimisation, signal processing, statistical learning, medical imaging, and material science. In this talk, I will review several topics in the engineering and applied sciences from my own research that have been shaped by geometric thinking. Examples include consensus theory and monotonicity, statistics and optimisation in nonlinear spaces, as well as topographic mechanics and material design.

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This talk is part of the CUED Control Group Seminars series.

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