Talks

Based on 6 + 2 assumptions, we will derive a model (a system of PDEs) with the purpose to describe the movement of a fluid. Ideally, at the end of the talk, we will have arrived at the incompressible Navier-Stokes equations.

Part II of the presentation on general relativity. In this part we will talk about the basic equations and how physical quantities are described in terms of mathematical objects.

I am not an expert on the field but during my studies I spent some time on understanding the mathematical basics of the general theory of relativity. I would present them in two parts. In the first part on the 26th of April I would concentrate on basics of differential geometry which are needed to describe the mathematics of the theory. In a second part on the 3rd of May I would explain how the before introduced structures are used to create a mathematical model of general relativity.

In the classical potential theory on the Euclidean space and in the potential theory of transient Markov chains a unique decomposition of superharmonic functions into a harmonic and a potential part is well-known. In this talk the basic concepts and ideas to gain such a decomposition for Schrödinger operators on graphs will be shown. The talk will show results of my master's thesis supervised by Matthias Keller.

Wie verändert sich das Spektrum des Laplace-Operators (oder allgemeiner von Schrödinger-Operatoren) auf metrischen Graphen unter Variation der Graphenparameter? Einige Antworten auf die Frage gibt es im Vortrag.

I will give a short summary of my master thesis as well as a quick introduction of myself.