This program aims to bring together experts in several interconnected themes in modern probability theory that can broadly be brought under the umbrella of high dimensional probability. The specific areas of emphasis will be the following:Random matrices and random operatorsGeometric functional analysis and high dimensional convex geometryPoint processes and interacting particle systemsSpin glasses and Gaussian free fields.These interconnected topics have seen a burst of activity in recent years in connection with different branches of mathematics such as dynamical systems and geometry as well as other disciplines such as mathematical physics and data sciences. Apart from the research talks by invited speakers, there will be two minicourses, aimed at graduate students/junior researchers, of four one hour lectures each, given by :Mark Rudelson (University of Michigan)Anton Bovier (Univarsität Bonn)This program will also include an Infosys-ICTS Ramanujan lecture series by Hugo Dominil-Co...
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