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Vidéo Année : 2016

R. Young - Quantitative rectifiability and differentiation in the Heisenberg group

Afficher 

Fanny Bastien
Pauline Martinet
  • Fonction : Monteur
  • PersonId : 987134

Résumé

(joint work with Assaf Naor) The Heisenberg group $\mathbb{H}$ is a sub-Riemannian manifold that is unusually difficult to embed in $\mathbb{R}^n$. Cheeger and Kleiner introduced a new notion of differentiation that they used to show that it does not embed nicely into $L_1$. This notion is based on surfaces in $\mathbb{H}$, and in this talk, we will describe new techniques that let us quantify the "roughness" of such surfaces, find sharp bounds on the distortion of embeddings of $\mathbb{H}$, and estimate the accuracy of an approximate algorithm for the Sparsest Cut Problem.

Dates et versions

medihal-01347628 , version 1 (21-07-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01347628 , version 1

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Robert Young, Fanny Bastien, Pauline Martinet. R. Young - Quantitative rectifiability and differentiation in the Heisenberg group : Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347628⟩
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