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Model theory is the analysis of classes of abstract mathematical structures by means of their first order properties. The early applications did not use much more than the compactness theorem, while the pure theory was very much concerned with syntactic questions. This changed with Morley's work on

Dynamic resources allocation concerns the setting where an 'agent' sequentially makes choices in a set of possible actions based on the current context, the different choices leading to different stochastic rewards. The goal is to design and analyze computationally efficient dynamic rules of decisio

We intend to answer questions arising in various situations in biology (population dynamics, cell motility, oncology, biological fluids, etc.) by a systematic use of the most modern methods in PDEs . The modeling is not completely stabilized in many of the problems that we intend to study, so that

The project is organized around four important topics in fluid mechanics: free surfaces and interfaces, boundary layers, vortex dynamics and fluid-structure interactions. The mathematical and the physical-environmental motivations of the project are connected to the events of the 2013 Mathematics

LAMBDA is a project in pure mathematics, in the field of dynamical systems. Its purpose is the study of parameter spaces of holomorphic dynamical systems in one and several complex variables. An emblematic and classic example in this topic is the family of quadratic polynomials z^2+c, with

The study of moduli spaces of G-local systems on a smooth complex algebraic curve (possibly with punctures) and its various incarnations (moduli spaces of Higgs bundles or moduli spaces of principal G- bundles with flat holomorphic connections) is a very active area of research in both mathematics a

The aim of this project is to explore new developing trends in spectral geometry. The latter is understood in a very broad sense that encompasses the geometry of moduli spaces, the spectral theory in the semiclassical regime and its application to quantum chaos, the quantization of (hyperbolic) dyna

Automorphic forms and Langlands functoriality is a very active area of contemporary international mathematical research at the crossroad of number theory, representation theory and arithmetic and algebraic geometry. Endoscopy, a technique that allows to study certain instances of functoriality,

The present project aims to develop models for the uncertain long term development of human longevity and methods for managing longevity-related risk in pensions and long term health care. From a mathematical point of view, this requires advances in stochastic models for population dynamics and in

During the last decades, the interface between two very active fields of research in mathematics, non-linear partial differential equations and infinite dimensional dynamical systems has been growing rapidly. Indeed, the numerous advances in non linear partial differential equations allow some pe

This project is focused on evolution problems in which dispersion is predominant compared to other phenomena such as diffusion. It is motivated by physical applications in which, in- deed, diffusion is negligible, and the total energy is - to some extent - conserved, and also by numerical issues reg

TopData stands for Topological Data Analysis: Statistical Methods and Inference. TopData aims at designing new mathematical frameworks, models and algorithmic tools to infer and analyze the topological and geometric structure of data in different statistical settings. Its goal is to set up the mathe