In this talk, I will present a study of the singular part of measures and some consequences (typically, L^1 elliptic and hypo-elliptic regularity results). The proofs rely on a geometric measure theory approach of …

Motivated by the study of splitting schemes for the Hodgkin-Huxley model, we introduce a novel localized version of the fundamental mean-square convergence theorem for numerical schemes for SDEs with locally …

Bilevel problems are optimization problems characterized by a hierarchical structure. In these problems, one seeks to minimize an outer function subject to the constraint that certain variables solve an inner …

Étant donnée une variété de Poisson, une méthode de quantification (dite par déformation) consiste à construire un produit sur les séries formelles sur les fonctions lisses de la variété. Ce produit doit à l'ordre …

The two spaces appearing in the title provide distinct compactifications of unordered configuration spaces of points on a complex variety. I will describe several ways in which they are related. In particular, in …

Optimal stopping problems lie at the interface of probability, statistics, and sequential decision theory. They model situations in which decisions must be made online, using only the information revealed so far and …

L'Institut de Mathématiques de Toulouse accueille les 2 et 3 avril 2026 une formation sur les transidentités dans l'enseignement supérieur. La transidentité désigne les situations dans lesquelles l’identité de …

Riemann surfaces are geometric shapes that can be imagined as deformed spheres or doughnuts. At first sight they may look quite similar, but a simple topological feature -the number of "holes'' they have- turns out …