The "Laboratoire d'Excellence'' Centre Européen pour les Mathématiques, la Physique et leurs interactions (CEMPI), a project of the Laboratoire de Mathématiques Paul Painlevé and the Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM), was created in the context of the "Programme d'Investissements d'Avenir" in February 2012.
The association Painlevé-PhLAM creates in Lille a research unit for fundamental and applied research and for training and technological development that covers a wide spectrum of knowledge stretching from pure and applied mathematics to experimental and applied physics.
The CEMPI has created partnerships with internationally renowned teams in first rate foreign institutes such as the Universities of Bristol and Aberdeen (United Kingdom), Leuven, Louvain-La-Neuve andPhotonics@be IAP (Belgium), the Max-Planck Institute in Bonn (Germany), the Fields Institute in Toronto (Canada) and SISSA (Italy).
CEMPI RESEARCH is structured around three focus areas :
THE INTERFACE BETWEEN MATHEMATICS AND PHYSICS
This focus area encompasses three themes. The first is concerned with key problems of a mathematical, physical and technological nature coming from the study of complex behaviour in cold atoms physics and non-linear optics, in particular fibre optics. The two other themes deal with fields of mathematics such as algebraic geometry, modular forms, operator algebras, harmonic analysis and quantum groups that have promising interactions with several branches of theoretical physics.
THE INTERFACE OF PHYSICS AND BIOLOGY
This focus area exploits the expertise of the PhLAM in non-linear dynamics, computational biology, non-linear optics and molecular physics, and the one of the Painlevé laboratory in probability, stochastic processes and partial differential equations.
THE INTERFACE OF MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
This focus area explores various problems at the meeting point between theoretical computer science and pure mathematics, in particular algebraic topology and the geometry of graphs and groups.
For a detailed description of the CEMPI, please see here.