Calendar

Abstract: We study a class of optimal stopping games (Dynkin games) with uncertainty about the existence of competitors. We show that there exists a Nash equilibrium in randomized stopping times which is described explicitly in terms of the corresponding one-player game.

This is joint work with Tiziano De Angelis.

Welcome!

Abstract: We investigate a model for opinion dynamics, in which individuals are modeled by vertices of a graph. As time progresses, neighboring individuals interact, which results in a realignment of their opinions closer towards each other and as a result triggers formation of a consensus. Our main focus is on strong consensus (i.e. global agreement of all individuals) versus weak consensus (i.e.

We prove that for any non-trivial perturbation depending
on any two independent harmonics of a pendulum and a rotor
there is global instability, also called Arnold diffusion.
The proof is based on the geometrical method and relies on
the concrete computation of several scattering maps.
A complete description of the different kinds of scattering maps
taking place as well as the existence of piecewi

Abstract: The fundamental equations in Einstein's theory of general relativity are wave equations on curved spaces. The behavior of waves becomes particularly interesting close to event horizons of black holes or close to so called Cauchy horizons. I will explain new results on this topic and relate them to the following classical open questions:
Is there a general mathematical obstruction to time

Abstract: Classical Diophantine approximation, roughly speaking, seeks to quantify the statement "the rationals are dense in the reals".

In this seminar, I will explain how analogues of results from this area can be proven in number fields: as an example, I will discuss a classical result, namely Gallagher's zero-one law, give a statement of this in number fields, and sketch a proof, outlining th