Vorträge in der Woche 10.07.2017 bis 16.07.2017

Dienstag, 11.07.2017: Non-commutative matrix forest theorems

Prof. Yoshinori Yamasaki (Ehime)

Mittwoch, 12.07.2017: Zur Energieerhaltung der Boris Methode

Ernst Hairer (Universität Genf)

Mittwoch, 12.07.2017: On estimates for the Bartnik mass of CMC Bartnik data

Dr. Armando Cabrera (University of Connecticut)

In general relativity a measure of how much energy is contained in a finite region of a spacetime is called a quasi-local mass. One of the most promising notions of quasi-local mass is the Bartnik mass; however, it is very difficult to compute. Recently, Mantoulidis and Schoen were able to compute the Bartnik mass of outermost apparent horizons in time-symmetric initial data sets. In this talk we will describe how to adapt their method to obtain new estimates for the Bartnik mass of CMC Bartnik data. This talk is based on a joint work with Carla Cederbaum, Stephen McCormick and Pengzi Miao.

Donnerstag, 13.07.2017: Tropical limit of logarithmic inflection points for planar curves

Arthur Renaudineau (Universität Tübingen)

Abstract : "We will describe the tropical limit of logarithmic inflection points for planar curves, both in the complex and real setting. This is a joint work with Grigory Mikhalkin."

Donnerstag, 13.07.2017: The phase diagram of the Caffarelli-Kohn-Nirenberg inequalities

Michael Loss (Georgia Tech)

The Caffarelli-Kohn-Nirenberg inequalities form a two parameter family of inequalities that interpolate between Sobolev's inequality and Hardy's inequality. The functional whose minimization yields the sharp constant is invariant under rotations. It has been known for some time that there is a region in parameter space where the optimizers for the sharp constant are {\it not} radial. In this talk I indicate a proof that, in the remaining parameter region, the optimizers are in fact radial. The proof will proceed via a well chosen flow that decreases the functional unless the function is a radial optimizer. This is joint work with Jean Dolbeault and Maria Esteban.