BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Juan Margalef-Bentabol (UCM) DTSTART:20201203T153000Z DTEND:20201203T163000Z DTSTAMP:20260423T005850Z UID:HEPTUW/13 DESCRIPTION:Title: Geometric formulation of covariant phase methods with boundary\nby Jua n Margalef-Bentabol (UCM) as part of HEP seminars TU Wien (Vienna)\n\n\nAb stract\nIn physics\, one standard way to study and understand a theory is through its dynamical formulation. Whenever possible\, this is obtained by considering some initial conditions and evolving them through the dynamic al equations of the theory. One gets then a curve over the space of initia l conditions which codifies the evolution. This approach is useful in many settings\, including General Relativity (ADM\, numerical relativity\, gra vitational waves...)\, however\, it also has some limitations. Namely\, to understand some non-local concepts such as black holes and their properti es (e.g. spin\, energy\, or entropy) one runs into some complications. Ano ther approach is to study the space of solutions where each point represen ts a whole solution of the theory. For well-posed problems\, this space is equivalent to the space of initial conditions (each initial condition giv es rise to one and only one solution) although in general there would be s ome gauge degeneracy (the solution is determined up to some gauge transfor mation). In this talk\, I will present this latter approach in what is kno wn as the Covariant Phase Space methods. In particular\, I will show how t o construct a presymplectic structure over the space of solutions canonica lly associated with the action of the theory. The novelty of our work is t hat we consider the manifold with boundary\, which adds several difficulti es that had not been solved before.\n LOCATION:https://researchseminars.org/talk/HEPTUW/13/ END:VEVENT END:VCALENDAR