Rougerie Lab

National Centre for Scientific Research (CNRS)

Ile-de-France (FR1) · France

ERC-funded
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Research focus

ERC Starting Grant · 2017

Correlated frontiers of many-body quantum mathematics and condensed matter physics

One of the main challenges in condensed matter physics is to understand strongly correlated quantum systems. Our purpose is to approach this issue from the point of view of rigorous mathematical analysis. The goals are twofold: develop a mathematical framework applicable to physically relevant scenarii, take inspiration from the physics to introduce new topics in mathematics. The scope of the proposal thus goes from physically oriented questions (theoretical description and modelization of physical systems) to analytical ones (rigorous derivation and analysis of reduced models) in several cases where strong correlations play the key role. In a first part, we aim at developing mathematical…

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