Mercoledì 25 Marzo, ore 14.30, aula C Matematica, Campus, UniPR
Speaker: Andrea Malchiodi (SNS).
Titolo: The Yamabe problem
Abstract: The Yamabe problem is a generalization of the classical Uniformization problem to manifolds of dimension greater or equal to three. It was formulated in 1960, and represents a model for geometric PDEs with lack of compactness. While it was completely solved in the 1980s thanks to the contributions of Trudinger, Aubin and Schoen, more recently it has revealed some surprising aspects. We will discuss the main results in the literature, as well some perspectives and open problems.