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FGSI'19 Foundations of Geometric Structure of Information

20 Octobre 2018

Catégorie : Conférence internationale

FGSI’19 conference will be focused on the foundations of geometric structures of information. It is dedicated to the triumvirat Cartan - Koszul - Souriau and their influence on the field.

For the 50th birthday of Jean-Marie Souriau Book “Structure des systèmes dynamiques” published in 1969, and Jean-Louis Koszul Book Translation by Springer “Introduction to Symplectic Geometry”, FGSI’19 will celebrate the influence of the Triumvirate Elie Cartan (ENS, 1888), Jean-Louis Koszul (ENS, 1940) and Jean-Marie Souriau (ENS, 1942) on Foundations of Geometric Structure of Information. Both Koszul and Souriau were influenced by Elie Cartan works on symmetric homogeneous spaces. Jean-Louis Koszul has developed theory of hessian geometry introducing Koszul forms that are fundamental structures in Information Geometry. In parallel Souriau has developed in the framework of Geometrical Mechanics applied for Statistical Mechanics, a Lie Group Thermodynamics in Homogeneous Symplectic Manifold. Based on Souriau cocycle, this thermodynamics defines a generalized Fisher metric where the Gibbs Maximum Entropy density is covariant with respect to dynamic groups of Physics.