Isoperimetric inequalities for certain star-shaped bodies

Prelegent(ci)

Radosław Adamczak

Afiliacja

Uniwersytet Warszawski

Termin

15 grudnia 2022 12:15

Pokój

p. 3160

Seminarium

Seminarium Zakładu Rachunku Prawdopodobieństwa

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I will present isoperimetric type inequalities for star-shaped sets that interpolate between intersection bodies and dual Lp centroid bodies, two classes of convex bodies studied in geometry. This provides a bridge between two well-known inequalities: the Busemann intersection inequality and the Lutwak-Zhang inequality. I will also describe inequalities for random counterparts of these sets. Based on joint work with Grigoris Paouris, Peter Pivovarov and Paul Simanjuntak.

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