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Some contributions of information theory to pure mathematics

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If you have a question about this talk, please contact Dr Amir R. Asadi .

We will illustrate the versatility of Shannon entropy as a tool providing insight into central basic questions in several fields of pure mathematics, through four instances (among many more choices): the central limit theorem (probability), the structure of union-closed families (combinatorics), the structure of sets of integers with small sumset (number theory), and bounds on volumes of sets depending on those of their projections (geometry).

This talk is part of the Information Theory Seminar series.

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