Abstract
We use symplectic techniques to obtain partial results on Mahler’s conjecture about the product of the volume of a convex body and the volume of its polar. We confirm the conjecture for hyperplane sections or projections of ℓp-balls or the Hanner polytopes.
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Supported by the Federal professorship program grant 1.456.2016/1.4, by the Russian Foundation for Basic Research grants 18-01-00036 and 19-01-00169.
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Karasev, R. Mahler’s conjecture for some hyperplane sections. Isr. J. Math. 241, 795–815 (2021). https://doi.org/10.1007/s11856-021-2114-4
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DOI: https://doi.org/10.1007/s11856-021-2114-4