One-Hour Lectures
نویسندگان
چکیده
Abstract: The last few years have witnessed remarkable progress in the study of the synthetic theory of metric measure structures with Ricci lower bounds. This led to new structure, stability and rigidity results, previously known only in the smooth setting or for the so-called Ricci limit spaces. In the lectures I will illustrate the key technical ideas at the basis of these developments, focusing in particular on calculus (gradients, differential, Sobolev functions, Laplacian, etc.) on metricmeasure spaces.
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