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Presentation of the laboratory

by Laurent RENAULT, Radu Stancu - published on , updated on

The LAMFA regroups the mathematicians of the Université de Picardie Jules Verne. The LAMFA is structured in three teams : Applied Analysis, Group Theory and Probability, Arithmetic and Dynamical Systems.

Group Theory (G)

The Group Theory team works principally in the following research ares:

  • Reductive finite groups and their representations, Coxeter groups and other reflection groups, root systems, Hecke algebras, braid groups.
  • Algebra representations, quivers, derived categories, stable categories, cluster categories and algebras.
  • Biset functors, Mackey functors, block theory, fusion systems, Burnside.rings.
  • Qantum groups, crystal bases, combinatorics, cryptography.
  • Operads and categories related to homotopy problems.

Applied Analysis (A^3)

The Applied Analysis team, beyond its traditional activity on Partial Differential Equations has developed an activity around Scientific Computing. For questions concerning PDEs, the research activity concerns qualitative and geometric properties of solutions to evolution PDE or elliptic PDE ( reaction-diffusion equations, free surface problems, supra-conductivity and Bose-Einstein condensates, asymptotic models for water waves). The Scientific Computing activity is also related to problems concerning control and numerical computation in inverse problems, wave propagation and domain decomposition methods in fluid mechanics. Some interactions exist with people in Robotics (concerning omnidirectional vision), in Physics (acoustics and fluid mechanics) and Mechanics (mesh free methods).

Probability, Arithmetic, Dynamical Systems (PADyque)

The research group Probability, Arithmetic, Dynamical Systems, beyond is core activity around dynamical systems and modeling of randomness, aim to develop a joint research program concerning p-adic dynamical systems with the group involved in Algebraic Group Theory. The other activities are related to integer-valued polynomials (generalized Barghava factorials, Pólya-Ostrowski group, Mahler series expansion, moderate growths integral functions, Pólya-Gelfand type theorems) dynamical systems, ergodic theory, fractal geometry (measure dimension, multifractal analysis), stochastic processes.

Laboratory Council

  • Mohamed ABAIDI (PhD student)
  • Serge BOUC (DR CNRS)
  • Jean-Paul CHEHAB (PR)
  • Marion DARBAS (MCF)
  • Fabien DURAND(PR)
  • Sabine EVRARD (MCF)
  • Alberto FARINA (PR)
  • Karine SORLIN (MCF)
  • Gabriel VIGNY (MCF)
  • Christelle CALIMEZ (ITA)
  • Isabelle WALLET (BIATOSS)