Speaker: Vittorio Martino (Università di Bologna) http://www.dm.unibo.it/~martino/index.html

Title: Some compactness and existence results for the Dirac-Einstein equations.

Abstract: We will introduce the Dirac-Einstein equations on a spin manifold, starting from motivations coming from Physics. We will show the compactness of the variational solutions and, after restricting the functional on a conformal class, we will show the classification of the Palais-Smale sequences and some results regarding the existence of solutions.