Tuesday, March 11, 2025 - 14:15 in V5-148
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds
A talk in the BI.discrete series by
Antoine Detaille from Universität Claude Bernard Lyon, France
| Abstract: |
In a striking contrast with the situation for classical linear spaces, it is known that smooth maps need not be dense in Sobolev spaces of mappings into a compact manifold.
While situations where strong density of smooth mappings occurs are completely characterized since the seminal work of F. Bethuel (1991) and its subsequent generalizations, the weak approximation problem remains widely open.
In this talk, I will present a recent result obtained with Jean Van Schaftingen (UCLouvain), featuring a new construction to produce analytical obstructions to the weak approximation property of Sobolev mappings.
Within the CRC this talk is associated to the project(s): A7 |
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