Differential calculus for Jordan algebras and Jordan modules

Abstract: "The notion of differential calculus for Jordan algebras, as well as the theory of connections for Jordan modules, was recentely introduced by M. Dubois-Violete. In this talk I will give an overview of the representation theory for Jordan algebras and then I will present some results we obteined in the context of differential calculus for Jordan algebras and modules. If the time allows, I will also review two proposals from M. Dubois-Violette in which the use of Jordan algebra allows for a mathematical formalization of the Standard model of particle physics"