|MINI-COURSE IN GEOMETRIC PDE|
|Topic:||Variational Techniques for the Prescribed $Q$-Curvature Equation|
|Affiliation:||Scuola Internazionale Superiore di Studi Avanzati, Italy and Member, School of Mathematics|
|Date:||Tuesday, October 21|
|Time/Room:||1:30pm - 3:30pm/S-101|
After recalling the definition of $Q$-curvature and some applications, we will address the question of prescribing it through a conformal deformation of the metric. We will address some compactness issues, treated via blow-up analysis, and then study the problem, which has variational structure, using a Morse-theoretical approach.