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The main goal of the project REWARD is to deepen and broaden the analysis of a recently introduced method for recovering elastic properties of materials from internal displacement data and to extend it for other applications. Instead of inverting a non-linear forward operator, the heart of the meth

The aim of the KEN Project is the mathematical analysis of nonlinear time dependent differential systems stem from physical models, partial differential equations, finite dimensional systems and numerical schemes. The main idea is to blend together mathematicians coming from seemingly distant commun

The ambition of the project consists in describing and investigate irregular phenomena arising from hydrodynamics, oncology, economics, or complex systems, from a macroscopic-microscopic point of view. We will take advantage of the complementarity of deterministic and stochastic analyses. Many di

There has been in the last thirteen years considerable progresses in our understanding of some classes of random partial differential equations (PDEs) after the seminal 2008 work of Burq & Tzvetkov on supercritical wave equations with random initial conditions and the groundbreaking 2014 works of Ha

The aim of this project is to foster interactions between the rapidly developing felds of tropical geometry, Berkovich analytic geometry and the theory of singularities. We are mainly interested in singularities of real and complex varieties, be they algebraic, analytic or formal. We will explore fr

The L-function of a mathematical object - a number field, an algebraic variety, or an automorphic representation - is a bridge between that analytic and arithmetical study of this object. The central motive organizing this project is a concrete, specific incarnation of this classical theme which

Localization phenomena occur in many physical, chemical or biological systems: when subject to some interactions or constraints, objects of interest (such as electrons, polymers, ants, etc.) may localize in some atypically small region of space and/or adopt a specific shape. Our project aims at

The study of minimal Cantor systems and zero entropy dynamical systems provided recently striking results. Topological full groups of minimal subshifts provide finitely generated groups with original properties: they are simple, amenable, may have intermediate growth for some zero entropy subshift

The central theme of this project lies in the area of control theory and partial differential equations (in particular Hamilton-Jacobi equations), posed on stratified structures and networks. These equations appear very naturally in several applications like traffic flow modeling, energy management

The main goal of the project is to study a recent higher version of rational connectedness on Fano varieties, rational simple connectedness, and its consequences on the arithmetic of rational points. This notion involves rational connectedness of moduli spaces of rational curves. The main motivatio

This pre-proposal is a project of fundamental research in mathematics, specifically, algebraic topology, homotopical algebra, and quantum algebra. It is concerned with configuration spaces, which consist in finite sequences of pairwise distinct points in a manifold. Over the past couple of decades,

The mathematics of data science concern several fields in mathematics, including statistics and geometry. This project is dedicated to geometric and topological statistical inference, which raises important mathematical challenges. Given an unknown shape, the goal is to learn some of its features ba

This project lies at the interface between Calculus of Variations, Partial Differential Equations and Nonlinear Analysis, with bridges to Differential Geometry and Geometric Measure Theory. We pursue significant progress in the understanding of singularities which arise in condensed matter physics

Groups appear in all domains of mathematics and have ramifications in other scientific domains, as physics, computer science, biology, and even art and design. To a finitely generated group, one can associate a graph, that makes this group a metric space, with a set of symmetries. Group theory allow

This is an interdisciplinary project combining tools from set theory and theoretical computer science. The main purpose of this project is to study the computational content of set theory through realizability models. Realizability is a branch of logic that aims at extracting the computational conte

We are interested in reflected stochastic processes involved in several systems of queueing networks. These stochastic models have been developed due to their numerous applications in operations research, risk theory, telecommunication, data sciences and also in population biology. The issues rai

Inspired by the famous Erlangen Program from 1872, where Felix Klein promoted the idea that geometries are governed by their group of symmetries, the study of (G,X)-structures on manifolds has been developed in the second half of the 20th century by, among others, Charles Ehresmann and William Thurs