Seminar by Giovanni Canepa (U. of Marseille)

In this talk I will give a description of the boundary structure of 3 + 1-dimensional gravity (in the Palatini–Cartan formalism) coupled to to gauge (Yang–Mills) and matter (scalar and spinorial) fields through the use of the Kijowski–Tulczijew construction. In particular, the reduced phase space is obtained as the reduction of a symplectic space by some first class constraints. Furthermore, if time permits I will give a cohomological description (BFV) of it. This is a joint work with A. S. Cattaneo and F. Fila-Robattino.