Giovanni Catino (Politecnico di Milano) will speak in the geometry seminar on the 22nd of May. The talk will take place in Salle des Profs at 1h30 pm. Giovanni’s title is *Einstein metrics and Ricci solitons* and his abstract is below.

In this talk I will review some classical classification and rigidity results for Einstein metrics and Ricci solitons. In particular, I will present a new Bochner-type identity on four-dimensional Einstein manifolds (obtained in collaboration with P. Mastrolia) and a recent uniqueness result for compact shrinking Ricci solitons in dimension four.