Seminarium KMMF "Teoria Dwoistości"

There are two different standard ways of endowing a physical theory with a symplectic structure: the canonical and the covariant. The former is derived from the well-known symplectic structure of a certain cotangent bundle. The latter is based on the variational calculus. Including a boundary in the canonical formalism poses no problem; however, in the covariant formalism, things break apart. In the first part of the seminar, I will briefly introduce both formalisms without boundary with a few examples and show their equivalence. The second part of the talk will be devoted to explaining in detail a new framework that allows us to include boundaries in a straightforward way in the covariant phase space formalism. I will illustrate this formalism with several gravity theories.Zoom link: https://us02web.zoom.us/j/8145917621?pwd=bVVKend0SHFKNUNyUUQ4cWNRK3laZz09