If you want to see my other, applied math side, then here are the slides for a talk here at Lille, scheduled for Thu 12.06.2014.
This is not what I worked these weeks, but a preparation. Soon will be finished something called “the symplectic Brezis-Ekeland-Nayroles principle”, written in collaboration with Gery de Saxce. Together with Gery, we work on the rigorous formulation of a generalization of some parts of convex analysis, since a number of years already, see the articles which contain the word “bipotential” here.
UPDATE: If you are in Paris next Tue June 17 then you may come to the seminaire D’Alembert where, due to the kind invitation of Djimedo Kondo, I shall give a variant of the talk on Hamiltonian systems with dissipation, with some updates on the work done with Gery.