Laboratoire de Mathématiques de Reims

Domaines scientifiques déclarés au RNSR

Mots-clés des publications HAL repérées

Projets ANR

• Imagerie des propriétés ELECTRiques par IRM: Application à la compatibilité IRM des dispositifs médicaux · 2021
• Algèbres de Hecke et Applications: Représentations, Noeuds et Physique · 2018
• Modèles numériques du système cranio-spinal pour l'homme et l'animal · 2018

Publications HAL récentes repérées

• Electrical properties reconstruction from MRI data: theoretical and numerical aspects · 2026

  Résumé de la publication : The paper presents an inverse problem for the reconstruction of the electrical properties of the human brain from Magnetic Resonance Imaging $B^+-1$-data. We establish a rigorous mathematical framework for the formulation of the inverse problem and provide an identifiability result. To achieve…

• Geometric interpretations of partial differential equations and their functional settings · 2026

  Résumé de la publication : Partial differential equations with a variational structure often have a naturally associated function space in which existence and well-posedness issues may be discussed rigorously. Even so, they may be transformed into equivalent forms associated with different function spaces. And in some cases,…

• Rankin--Cohen brackets in Representation Theory · 2026

  Résumé de la publication : The Rankin-Cohen brackets provide a basic example of "non-elementary" differential symmetry breaking operators. They can be interpreted as bi-differential operators remarkable for reflecting the structure of fusion rules for holomorphic discrete series representations of the Lie group SL(2, R) and are intimately…

• A Note on the Limiting Corner Angle of Liquid Drops in the Lubrication Approximation · 2026

  Résumé de la publication : The derivation of thin-film equations for liquid drops on an inclined plane is analyzed. It was found that the limiting corner angle of the contact line for such a drop should be close to 25 degrees, in accordance with observations. This is…

• q-RATIONALS, LINK INVARIANTS AND WEBS · 2026

  Résumé de la publication : We investigate the role of q-rationals in the context of link invariants. This leads us to introduce and study web categories that q-deform Deligne's categories.