Let (M,g) be a closed negatively curved Riemannian manifold. For surfaces, we know since Hamilton that the normalized Ricci flow (NRF) defines a flow (g_t) of negatively curved metrics of constant area which …

We will show how to recover the construction of Deligne-Lustig representations by considering the trace of Frobenius on categorical G- representations. We will give a streamlined proof of the fact that the …

Models of materials physics constitute a classical motivation and field of application for nonlinear analysis. A central example of this interplay is the analysis of weakly differentiable manifold-valued maps. This …

Composition du jury : Mme Colette DE COSTER, Rapporteure, Université Polytechnique Hauts-de-France M. Simone DOVETTA, Rapporteur, Politecnico di Torino M. Mihai MARIS, Examinateur, Université de Toulouse M. Louis …

In an origami construction, we start with an infinite sheet of paper that we can consider to be the complex plane, with two marked points on it: 0 and 1. Origami constructions consist simply of a series of folds in …

Invariants are essential for classifying mathematical objects up to a group of transformations. This talk will review several constructions of rational invariants where a section to the orbits is an essential …