The talk “On noncommutative methods in Additive Combinatorics and Number Theory“ by Ilya Shkredov on the Moscow Conference on Combinatorics and Applications at MIPT. Annotation: We give a survey on recent applications of growth in non—abelian groups to a series of problems of Number Theory and Additive Combinatorics. We discuss Zaremba’s problem from the theory of continued fractions, the sum—product phenomenon, Incidence Geometry, affine sieve and other questions. The full schedule of the conference -
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