Termine

Abstract: We use generalized minimal or capillary hypersurfaces to study comparison theorems of certain class of positively curved manifolds (with boundary); this is also called Gromov's $\mu$-bubble method. We apply these results to obtain useful geometric bounds such as Urysohn width, bandwidth estimates, and study rigidity of (free boundary) minimal hypersurfaces.

In this talk we want to provide some insight into the everyday life of a mathematician in the world of corporates. We shall report on our experiences at d-fine GmbH, a management consulting company with an analytic and technological focus, thereby aiming to present a diverse picture: not only shall we delve into the world of databases and related evaluations via graph-theoretic techniques, but we shall also discuss topics in sustainability reporting most prominently featuring an approach to the challenging subject of modelling key invariants for biodiversity.

Abstract: Chern characters are natural transformations from K-theory like coarse homology theories to coarse homology theories derived from chain-complex constructions. Transgressions are natural transformations from coarse homology theories to functors applied to the Higson corona. I will explain instances of such constructions and how they are possibly related. One goal of this talk is to highlight the richness of the world of coarse homology theories and its connection with interesting developments, classical and modern, in other fields.

Markus Stroppel will give a lecture series on advanced topics in locally compact groups. The lectures take place on Monday at 14:15 in room SR 1D They will start on Monday, November 17. The planned topics are: * the scale function and tidy subgroups * automorphism groups of trees

A p-Kähler structure on a complex manifold is a closed, transverse (p,p)-form. For the extremal values of p, we get the well known Kähler and balanced manifolds, however, for each other possible p, such structures have no metric meaning. The aim of the talk, after discussing similarities and differences between p-Kähler structures and Kähler and balanced structures, is to present some results on the existence of p-Kähler structures, with a focus on Lie groups and their compact quotients. Based on a work in progress with A. Fino and G. Grantcharov.

Rapoport--Zink spaces associated with unitary groups play a central role in arithmetic geometry. In this talk, I will introduce two types of unitary Rapoport--Zink spaces: one arising from global Shimura varieties and another with a simpler local structure. I will then explain how these two spaces are related. This talk is based on my joint work with A. Mihatsch and Z. Zhang, as well as some forthcoming results of my own.