Section: New Results
Participants : Ludovic Rifford, Alice Erlinger, Ahed Hindawi, Alessio Figalli, Bernard Bonnard, Jean-Baptiste Caillau, Lionel Jassionesse, Robert Mc Cann [U. of Toronto] .
This year has seen new results or starting directions in many areas of optimal cotrol.
The very general condition for continuity of the transport map given in  motivated exploration of conditions for convexity of the tangent injectivity domain  ,  on. Lionel Jassionnesse's PhD is in part devoted to Ma-Tudinger-Wang tensor that also plays an important role in this matter.
In Ahed Hindawi's PhD  , defended this year, results in optimal transport for sub-Riemannian costs (see the survey  ) are generalized to costs coming from optimal control problems with quadratic cost and a drift.
Alice Erlinger's PhD, joint with University of Toronto is exploring Optimal Transport's application to modeling in economics