Isoperimetric inequalities for certain star-shaped bodies

Speaker(s)

Radosław Adamczak

Affiliation

Uniwersytet Warszawski

Date

Dec. 15, 2022, 12:15 p.m.

Room

room 3160

Seminar

Seminar of Probability Group

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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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