## Séminaire d’Analyse Fonctionnelle

### On the affine surface area

#### Elisabeth Werner - Case Western

jeudi 27 juin 2019 à 10:30

Given a convex body $K$ in $R^n$, we study the quantity $AS(K) = sup_{K’\subseteq K}(as(K’)$ where $as(K’)$ denotes the affine surface area of $K’$, and the supremum is taken over all convex subsets of $K$. We study continuity properties of $AS(K)$ and give asymptotic estimates. Based on joint work with Han Huang and Carsten Schuett.

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