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Size of Line Intersections in High Dimensional L_p-Balls and Product Measures

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Geometry Courses Probability Courses Calculus of Variation Courses High Dimensional Geometry Courses

Course Description

Overview

Explore a fascinating mathematical presentation on the size of line intersections in high-dimensional L_p-balls and product measures. Delve into the isodiametric inequality and its implications for n-dimensional convex bodies. Investigate whether a subset of a convex body can have significantly smaller line intersections than predicted by the inequality. Examine joint work with D. Elboim, presented by Bo'az Klartag from the Weizmann Institute of Science at IPAM's Calculus of Variations in Probability and Geometry Workshop.

Syllabus

Bo'az Klartag - Size of line intersections in high dimensional L_p-balls and product measures


Taught by

Institute for Pure & Applied Mathematics (IPAM)

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