Ali Maalaoui (Clark University)

September 24, 2020.

The Einstein-Dirac equation I: The conformal case.

In this first talk I will introduce the Einstein-Dirac functional and its Euler Lagrange equation and then I will focus on the conformal version of the functional. I will show the bubbling phenomena and the energy quantization that occurs in this model and provide an existence result under an Aubin type condition. Next, I will state one recent result classifying the ground state bubbles that appear during blow-up. (The first part of the talk is a joint work with V. Martino and the second is a joint work with W. Borrelli.)