Compactness and Quantization phenomena in conformal geometry: Some recent results and open problems.
Compactness and Quantization phenomena in conformal geometry: Some recent results and open problems.

Luca Martinazzi, University of Pisa
Fine Hall 314
I will briefly introduce the GJMS operators, Qcurvature and their basic properties, then I will describe the possible behaviours of a given sequence of metrics (on a closed Riemannian manifold or on a domain in $R^n$ or similar) having prescribed Qcurvatures which converge to a given function. If the sequence is notprecompact various blowup phenomena appear, only in part well understood. I will complete the talk with a few open questions.