Prescribing the curvature of a convex body in the hyperbolic space
Dr. Jerome Bertrand
Université Paul Sabatier, Toulouse, France
| Speaker |
Dr. Jerome Bertrand
Université Paul Sabatier, Toulouse, France
|
|---|---|
| When |
Jan 22, 2019
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
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Abstract: The problem I shall present is the counterpart in the hyperbolic space of a classical result by Alexandrov. Roughly, the question is: does the knowledge of the (Gauss) curvature of the boundary of a convex body completely determine the body? When the boundary is further assumed to be sufficiently smooth, this question can be solved by PDE methods. Here, I will explain how this problem can be rephrased as a nonlinear optimization problem and give some elements of its resolution.
This is joint work with P. Castillon.