DEVI Seminar – Michel Boyom (university of Montpellier II)


10h30 - 11h30


ENAC, Library, Agora
7 avenue Edouard Belin, Toulouse

Event Type

Structure of complex systems

Complex systems are most often considered from the viewpoint of measurable spaces. Nevertheless, this approach can give rise to invariants from different mathematical structures: topological or differential. The purpose of this talk is to present some perspectives on the structuring of data:

  • At the conceptual level.
  • Equipping a *complex system* with a fixed mathematical structure, or embedding it as a subset of a set equipped with a fixed mathematical structure. Some common structures: combinatorial, configuration space, metric structure, physics & mechanics.

  • The problem of the existence of structures.
  • Hessian operator, gauge operator, etc.

  • Topological foundation of information geometry and statistical physics.