Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Around the Nash Problem for Smooth Valuations

Hausdorff Center for Mathematics via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the concept of smooth valuations on manifolds in this 39-minute lecture by Dima Faifman at the Hausdorff Center for Mathematics. Learn how smooth valuations generalize from convex sets to manifolds and discover the method of obtaining them through restriction of translation-invariant smooth valuations in higher-dimensional linear spaces. Examine the existence of Crofton formulas for all smooth valuations on manifolds and investigate a related problem involving finite families of subspaces, revealing an unexpected flexibility property of translation-invariant valuations. Gain insights from this joint work with Georg Hofstaetter, which addresses the Nash problem for smooth valuations and its implications in geometric measure theory.

Syllabus

Dima Faifman: Around the Nash problem for smooth valuations

Taught by

Hausdorff Center for Mathematics

Reviews

Start your review of Around the Nash Problem for Smooth Valuations

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.