The Reduced Corner Structure of General Relativity in the First Order FormalismMPIM

by Filippo Fila-Robattino (University of Zurich)

Tuesday Oct 28, 2025, 3:00 PM → 4:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Physical Math Seminar

Classical field theories on stratified manifolds present several geometric and algebraic structures. In particular, the space of fields on the boundary is endowed with a symplectic structure, while on the corners it is possible to use the tools of generalised geometry to describe the relevant physical objects. Specifically, in the main examples of field theories it is possible to associate a Dirac structure to the (reduced) space of corner fields. In this talk, I will analyse the case of 4D gravity in the Palatini—Cartan formalism. This is a joint work with Alberto Cattaneo, exploiting the general construction due to Bonechi and Cattaneo.