On the regularity of Euclidean convex hypersurfaces
Prof. Jerome Bertrand, University of Toulouse, France
| Speaker |
Prof. Jerome Bertrand, University of Toulouse, France
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|---|---|
| When |
Feb 05, 2016
from 04:00 PM to 05:00 PM |
| Where | LH006 |
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Abstract: In this talk, I will consider the problem of adapting standard tools in Riemannian geometry to some singular spaces. A typical example is that of convex polyhedra. More generally, I will mainly consider the set of closed convex hypersurfaces in Euclidean space. In the case of convex surfaces, it can be proved that the Riemannian structure induced by the 3D Euclidean space is not the most regular one (rougly speaking, it gives BV instead of Sobolev). In the second part of the talk, I will discuss the analytical tools available in any dimension. This is joint work with L. Ambrosio (SNS, Pisa).