DIFFERENTIAL CALCULUS FOR JORDAN ALGEBRAS AND JORDAN MODULES

"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"