Seminars & Colloquia Calendar

Download as iCal file

Nonlinear Analysis

Morse theory and the resonant \(Q\)-curvature problem

Mohameden Ahmedou, Giessen University, Giessen, Germany

Location:  Hill 705
Date & time: Tuesday, 01 October 2019 at 1:40PM - 2:50PM

Abstract:  The Q-curvature is a scalar quantity which plays a central role in conformal geometry, in particular in the search of high order conformal invariants. In this talk we address the problem of finding conformal metrics of prescribed Q-curvature on four riemannian manifolds in the so called resonant case, that is when the total integral of the Q-curvature is a multiple of the one of the four-dimensional round sphere. This geometric problem has a variational structure with a lack of compactness. Using some topological tools of the theory of critical points at infinity of Abbas Bahri, combined with a refined blow-up analysis, we extend the full Morse theory, including Morse inequalities, to this non-compact geometric variational problem and derive existence and multiplicity results.

This is a joint work with C.B. Ndiaye (Howard University)

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.