Conférence
Notice
Langue :
Anglais
Crédits
Fanny Bastien (Réalisation)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/dpck-jr12
Citer cette ressource :
I_Fourier. (2014, 1 juillet). Rod Gover - Geometric Compactification, Cartan holonomy, and asymptotics , in 2014. [Vidéo]. Canal-U. https://doi.org/10.60527/dpck-jr12. (Consultée le 19 septembre 2024)

Rod Gover - Geometric Compactification, Cartan holonomy, and asymptotics

Réalisation : 1 juillet 2014 - Mise en ligne : 8 juin 2016
  • document 1 document 2 document 3
  • niveau 1 niveau 2 niveau 3
Descriptif

Conformal compactification has long been recognised as an effective geometric framework for relating conformal geometry, and associated field theories ``at infinity'', to the asymptotic phenomena of an interior (pseudo-­‐)-­‐Riemannian geometry of one higher dimension. It provides an effective approach for analytic problems in GR, geometric scattering, conformal invariant theory, as well as the AdS/CFT correspondence of Physics. I will describe how the notion of conformal compactification can be linked to Cartan holonomy reduction. This leads to a conceptual way to define other notions of geometric compactification. The idea will be taken up, in particular, for the case of compactifying pseudo-­‐ Riemannian manifolds using projective geometry. A new characterisation of projectively compact metrics will be given, and some results on their asymptotics near the conformal infinity. This is joint work with Andreas Cap.

Dans la même collection

Sur le même thème