Seminarium Gamma

Multicontact geometry has been developed to study action-dependent field theories in a covariant and geometric framework. In this talk, I will present the definition of graded Jacobi brackets in multicontact geometry, emphasizing their connection to brackets in multisymplectic geometry via the so-called process of multisymplectization. This study, together with recent advances in the theory of brackets for classical (non-dissipative) field theories, may be employed to obtain a bracket for dissipative forms of arbitrary degree. This is joint work with Manuel de León and Xavier Rivas.