23 mar 2021 -- 14:30 [open in google calendar]
Please write to Andrea.email@example.com or to Andrea.firstname.lastname@example.org if you want to attend the seminar.
We consider the classical question of prescribing the scalar curvature of a manifold via conformal deformations of the metric, dating back to works by Kazdan and Warner. This problem is mainly understood in low dimensions, where blow-ups of solutions are proven to be "isolated simple". We find natural conditions to guarantee this also in arbitrary dimensions, when the prescribed curvatures are Morse functions. As a consequence, we improve some pinching conditions in the literature and derive existence and non-existence results of new type. This is joint work with M. Mayer.