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Joseph Fu - Integral geometric regularity (Part 5) | |
| Auteur(s) : FU JOSEPH
24-06-2015
Éditeur(s) : Fanny Bastien; Description : In the original form given by Blaschke in the 1930s, the famous Principal Kinematic Formula expresses the Euler characteristic of the intersection of two sufficiently regular objects in euclidean space, integrated over the space of all possible relative positions, in terms of geometric invariants associated to each of them individually. It is natural to wonder about the precise regularity needed for this to work. The question turns on the existence of the normal cycle of such an object A, i.e. an integral current that stands in for its manifolds of unit normals if A is too irregular for the latter to exist in a literal sense. Despite significant recent progress, a comprehensive understanding of this construction remains maddeningly elusive. In these lectures we will discuss both of these aspects. Mots-clés libres : Mathèmatiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation Classification générale : Mathématiques Accès à la ressource : http://www.canal-u.tv/video/institut_fourier/josep... rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/jo... Conditions d'utilisation : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0 | DONNEES PEDAGOGIQUES Type pédagogique : cours / présentation Niveau : doctorat DONNEES TECHNIQUES Format : video/x-flv Taille : 2.66 Go Durée d'exécution : 1 heure 13 minutes 21 secondes |
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