The AAPT project (Algebraic Approach to Theoretical Physics), at the interface between mathematics and theoretical physics, is a joint project between the CNRS Institutes of Mathematics (INSMI) and Physics (INP). It aims to facilitate exchanges between different researchers whose common interest is abstract algebraic studies leading to advances in theoretical physics. More precisely, the links between the theory of algebraic representations, the study of orthogonal polynomials, the exact calculation of quantities relevant to certain models of theoretical physics and the study of integrable systems are at the centre of this project.
The partners are, in France, the Denis-Poisson Institute of the University of Tours, the Annecy-Le-Vieux Laboratory of Theoretical Physics, and the Laboratory of Mathematics of the University of Reims, and, abroad, the Mathematical Research Centre of the University of Montreal (Canada) and the "Clifford Research Group" of the University of Ghent (Belgium).
Hosted by the TU/e Eindhoven, EURANDOM is a centre for colloquia, doctoral and post-doctoral studies hosted by the Stochastics Section of the Department of Mathematics and Informatics (Faculteit Wiskunde en Informatica) of the TU/e in Eindhoven (The Netherlands). The name EURANDOM is an acronym for "European Research Institute for Statistic, Probability, Stochastic Operations Research and their Applications".
Founded in 1997 by the NWO (Nederlandse Organisatie voor Wetenschappelijk) and the TU/e, with the support of the Dutch government and Philips (a multinational company founded in 1891 in Eindhoven), EURANDOM was initially mainly a postdoctoral centre financed by the NWO, before becoming a centre for colloquiums and accommodation of scientific visitors. Among other things, it organises the YEP (Young European Probabilists, since 2004), YEQT (Young European Queueing Theory, since 2007) and YES (Young European Statisticians, since 2007) series of conferences for young scientists.
EURANDOM became an International Mixed Unit (UMI) of the CNRS in 2008, and has always cultivated strong links with the French probabilistic community, by participating in the postdoctoral training of numerous PhD graduates from CNRS units, by hosting numerous conferences organised by mathematicians from CNRS units, or by hosting researchers or lecturers on CNRS delegation. Following the CNRS's phasing out of the UMIs in 2020, EURANDOM becomes an IRP by joining the Labex Bézout within the International Research Project "Random Graph, Mathematical Statistical Mechanics and Random Graphs", led by the LAMA laboratory (UMR 8050 CNRS, UPEC & UGE), which is always able to welcome CNRS researchers on delegation, for scientific visits or to organise specific conferences.
The PIICQ project (Probabilités Intégrables, Intégrabilité Classique et Quantique) aims to facilitate collaboration between several researchers working on integrability in the broad sense: quantum integrability, integrable differential equations and integrable probabilities. The applications of these topics are mainly to determinantal point processes, random growth models in one spatial dimension (Kardar-Parisi-Zhang equation, ASEP-type models) and quantum integrable models. By combining concepts from random matrix theory, asymptotic analysis of differential equations and statistical physics, we propose to develop a systematic and unitary approach for the study of these models.
In France, the project partners are Aix-Marseille University, ENS Lyon, Université d'Angers and Université Claude Bernard - Lyon 1, and abroad, Bristol University (UK), SISSA (Italy), UCLouvain (Belgium) and University of Michigan (US).
The IRP "Spectral Analysis of Dirac Operators" (SPEDO) brings together mathematicians from Denmark, Spain, Chile and France to analyse the spectral properties of Dirac operators. The questions addressed are motivated by the study of quantum confinement and electrical properties of two-dimensional materials (graphene) subjected to magnetic constraints. In recent years, a lot of very promising work has emerged. The IRP allows us to structure an international community to meet the technical challenges posed by the mathematical study of these physical phenomena.
