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Workshop

The difficulties with sub-Riemannian geometry in infinite dimensions

  • Sylvain Arguillère (CNRS)
E1 05 (Leibniz-Saal)

Abstract

Many methods of shape analysis, such as the LDDMM framework, use sub-Riemannian geometry. Moreover, one often needs to consider infinite dimensions. However, in this case, many complications can arise. I will give a brief overview of what can and cannot be done in infinite dimensional sub-riemannian manifolds, and give an in-depth study of the geodesics of a non-trivial example: the free 2-step nilpotent group modeled on a Hilbert space.

Katharina Matschke

Max Planck Institute for Mathematics in the Sciences, Leipzig Contact via Mail

Karen Habermann

University of Warwick

Sayan Mukherjee

Max Planck Institute for Mathematics in the Sciences, Leipzig

Max von Renesse

Leipzig University

Stefan Horst Sommer

University of Copenhagen