Orateur
Antoine Detaille
Description
In a striking contrast with the classical situation of real-valued Sobolev functions, a Sobolev mapping taking its values into a manifold N need not be a limit of smooth N-valued maps with respect to the strong convergence.
A natural idea to try restoring the approximation property by smooth maps is to work with a weaker notion of convergence.
Unlike the strong approximation problem, which is by now considered as well-understood, the picture of the weak approximation problem remains yet widely open.
In this talk, I will present the history of this problem, some well-known results, as well as some recent progress.