Cours

# Joseph Fu - Integral geometric regularity (Part 5)

Réalisation : 24 juin 2015 Mise en ligne : 24 juin 2015
• document 1 document 2 document 3
• niveau 1 niveau 2 niveau 3
• audio 1 audio 2 audio 3
Descriptif

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.

Intervenants
Thèmes
Notice
Langue :
Anglais
Crédits
Fanny Bastien (Réalisation)
Conditions d'utilisation
CC BY-NC-ND 4.0
Citer cette ressource:
I_Fourier. (2015, 24 juin). Joseph Fu - Integral geometric regularity (Part 5). [Vidéo]. Canal-U. https://www.canal-u.tv/86433. (Consultée le 20 mai 2022)
Contacter
Documentation

## Avec les mêmes intervenants

• Cours
01:21:41
Joseph Fu - Integral geometric regularity (Part 3)
Fu
Joseph H. G.

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

• Cours
01:24:24
Joseph Fu - Integral geometric regularity (Part 4)
Fu
Joseph H. G.

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

• Cours
01:20:36
Joseph Fu - Integral geometric regularity (Part 2)
Fu
Joseph H. G.

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

• Cours
01:53:10
Joseph Fu - Integral geometric regularity (Part 1)
Fu
Joseph H. G.

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

## Sur le même thème

• Conférence
00:45:21
R. Berman - Canonical metrics, random point processes and tropicalization
Berman
Robert

In this talk I will present a survey of the connections between canonical metrics and random point processes on a complex algebraic variety X. When the variety X has positive Kodaira dimension,

• Conférence
00:32:57
B. Berndtsson - The curvature of (higher) direct images

I will first discuss some earlier work on the curvature of direct images of adjoint line bundles under a smooth proper fibration, or more generally a surjective map and (maybe) some of its

• Conférence
00:47:36
Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces
Viaclovsky
Jeff

I will discuss a Kuranishi-type theorem for deformations of complex structure on ALE Kahler surfaces, which will be used to prove that for any scalar-flat Kahler ALE surface, all small deformations of

• Conférence
00:52:50
Burkhard Wilking - Manifolds with almost nonnegative curvature operator
Wilking
Burkhard

We show that n-manifolds with a lower volume bound v and upper diameter bound D whose curvature operator is bounded below by $-\varepsilon(n,v,D)$ also admit metrics with nonnegative curvature

• Conférence
01:03:03
Jean-Marc Schlenker - Anti-de Sitter geometry and polyhedra inscribed in quadrics
Schlenker
Jean-Marc

Anti-de Sitter geometry is a Lorentzian analog of hyperbolic geometry. In the last 25 years a number of connections have emerged between 3-dimensional anti-de Sitter geometry and the geometry of

• Conférence
00:58:49
Stéphane Saboureau - Sweep-outs, width estimates and volume
Sabourau
Stéphane

Sweep-out techniques in geometry and topology have recently received a great deal of attention, leading to major breakthroughs. In this talk, we will present several width estimates relying on min-max

• Conférence
00:48:44
Igor Belegradek - Smoothness of Minkowski sum and generic rotations