Q-Math Seminar
Multisymplectic formalism for manifolds with boundaries
Speaker: Marco Díaz Maceda (CUNEF Universidad)Date: Wednesday, 18 March 2026 - 11:00Place: Aula 2.2 D08, Campus de Leganés, Universidad Carlos III de Madrid
Online: meet.google.com/ejj-hfpf-xuw
Abstract:
In this seminar, I will present a new formalism for studying the field theories on manifolds with boundary. Based on the ideas of relative cohomology [Margalef-Bentabol & Villaseñor, 2021], I will extend the definition of multisymplectic structures to manifolds with boundary. We will see how this structure reproduces the field equations of variational principles with boundary. I will explain how to generalize the observables, the graded Poisson brackets, and the conserved charges to manifolds with boundary. Moreover, I will present the Lagrangian formalism, deriving the Poincaré–Cartan form and the Euler–Lagrange equations. Finally, I will illustrate the formalism with several examples.
