Seminari del Dipartimento di Matematica

Seminario del 2023

Vittorio Martino

Some results on the Dirac-Einstein equations

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

Starting from motivations coming from Physics, we will introduce the Dirac-Einstein equations on a spin manifold. After reviewing some known background material, we will show some recent results, in particular: the compactness of the variational solutions, the classification of the Palais-Smale sequences for the related conformal problem, and finally, an existence result of Aubin type.