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This lecture by Boris Bukh explores the mathematical concept of additive bases and how they behave when changing domains. Discover how the most efficient way to cover a set of numbers by a sumset varies depending on whether you're working with rational numbers, integers, or natural numbers. The 57-minute talk presents joint research with Peter van Hintum and Peter Keevash, examining the significant differences that can emerge when transitioning between these number domains. Boris Bukh, known for his work in extremal combinatorics, brings his expertise to this complex mathematical topic at BIMSA (Beijing Institute of Mathematical Sciences and Applications).
