Prof. Dr. Julian Scheuer
Goethe Universität FrankfurtInstitut für Mathematik Robert-Mayer-Str. 10, Raum 803 60325 Frankfurt E-Mail: firstname.lastname@example.org Phone: +49-69-798-22568
|Geometric Analysis and Partial Differential Equations|
Registration until May 26th to email@example.com (until maximal capacity is reached). It will take all day (9:00-17:00, with optional dinner afterwards).
Venue: Robert-Mayer-Str. 10, Seminar room 711
Title: The gradient flow of the elastic and p-elastic energy for curves and fractional versions thereof
Abstract: During the last couple of years a surprising large number of new research papers appeared dealing with the elastic energy of curves and similar geometric equations. In this survey talk we give an overview over new and old results in the context of gradient flows of the p-elastic energy for curves and fractional versions thereof. We discuss both, $L^2$ gradient flows and the more recently studied $H^2$-gradient flows for these elastic energies and try to highlight the main differences between the resulting evolution equations.
Title: Quantitative stability for metrics of almost-constant fractional scalar curvature
Title: div-curl estimates and harmonic maps: local and nonlocal
Abstract: I will present definitions and applications of a notion of fractional div-curl structures. I will talk about their role in the theory of fractional harmonic maps, such as regularity theory and conservation laws.