On the $L^p$ dual Minkowski problem for $−1 < p < 0$

Stephanie Mui (NYU Courant)

23-Feb-2023, 15:15-17:00 (13 months ago)

Abstract: The $L^p$ dual curvature measure was introduced by Lutwak, Yang, and Zhang in 2018. The associated Minkowski problem, known as the $L^p$ dual Minkowski problem, asks about existence of a convex body with prescribed $L^p$ dual curvature measure. This question unifies the previously disjoint $L^p$ Minkowski problem with the dual Minkowski problem, two open questions in convex geometry. In this talk, we will discuss the existence of a solution to the $L^p$ dual Minkowski problem for the case of $q < p + 1,$ $−1 < p < 0,$ and $p\neq q$ for even measures.

computational geometrydiscrete mathematicscommutative algebracombinatorics

Audience: researchers in the topic


Copenhagen-Jerusalem Combinatorics Seminar

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Organizers: Karim Adiprasito, Arina Voorhaar*
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