Sharp stability for the Brunn-Minkowski inequality for arbitrary sets

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• Marius Tiba (Oxford)
• Thursday 01 June 2023, 14:30-15:30
• MR11.

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The Brunn-Minkowski inequality states that for (open) sets A and B in R^{d, we have |A+B|}{1/d} \geq |A|^+|B|{1/d}. Equality holds if and only if A and B are convex and homothetic sets in R^d. In this talk, we present a sharp stability result for the Brunn-Minkowski inequality for arbitrary sets A and B, thus concluding a long line of research on this folklore problem. This is joint work with Alessio Figalli and Peter van Hintum.

This talk is part of the Combinatorics Seminar series.

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