Date : Mardi 4 février 2025
Heure : 10h30
Salle : 6214, pavillon André-Aisenstadt

Conférencier: Juan Margalef, Professeur adjoint, Memorial University à Terre-Neuve et professeur assistant à l’université Charles III à Madrid en Espagne,

Titre : On the Boundary of Physics: applications of symplectic geometry to gravitational theories

Résumé : Symplectic structures play a fundamental role in understanding the dynamics and potential quantization of many physical theories. There are essentially two different ways of endowing a physical theory with such a structure: the canonical and the covariant. While the former relies on the canonical symplectic structure of a cotangent bundle, the latter emerges from variational calculus. Including boundaries in the canonical formalism poses no problem; however, in the covariant formalism, things break apart with the standard methods developed in the 90s In this presentation, I will provide concise overviews of both formalisms without boundaries and introduce a novel framework developed to handle boundaries seamlessly. Through this framework, I will prove the equivalence of several gravity theories which were thought to be inequivalent and unveil a recent breakthrough: the establishment of the full equivalence between the canonical and covariant formalisms, resolving a longstanding problem which remained open for nearly four decades.

Voici les informations de la présentation de 30 minutes sur l’enseignement au 1er cycle :

Date : Mardi 4 février 2025
Heure : 13h45
Salle : 6214, pavillon André-Aisenstadt