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Résumé |
In the last 7 years, we have gathered a lot of results pointing toward an
underlying universal symmetry structure in gravity. I will give an overview of
these recent results, focussing in particular on two main features. First, we will
derive the universal corner symmetry algebra, which can be regarded as the algebra
of observables in classical gravity. Secondly, we will propose an extension of the
gravitational covariant phase space such that all diffeomorphism charges are
integrable, albeit the system is still dissipative. These two ingredients are at
the core of the corner proposal, which is a bottom-up approach to quantum gravity,
based on symmetries. After enunciating and discussing this proposal, time
permitting, I will mention how the geometric degrees of freedom at cuts of null
hypersurfaces can be quantized, and its far-reaching consequences for quantum
gravity. |
