Seminario Luca Martinazzi Titolo: Some prescribed curvature problems in di erential geometry
Martedì 6 luglio alle ore 12 si terrà in Aula Picone e da remoto il Seminario dipartimentale del prof. Luca Martinazzi, risultato vincitore di una procedura di selezione per un posto da Professore Associato in MAT05
Speaker: Luca Martinazzi
Titolo: Some prescribed curvature problems in dierential geometry
Abstract:
An important class of problems in geometric analysis consists in deforming the metric of a surface (or higher-dimensional manifold) in suitable ways, so that the new metric has a prescribed value of curvature. These problems, which include the uniformization, Nirenberg and Kazdan-Warner problems, are often studied via variational techniques, as I will briey discuss. In particular I emphasize the diculties arising from the lack of compactness and its relation to sharp inequalities.
