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:
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.
Hessian operator, gauge operator, etc.