27.11.2019 um 17:15 Uhr in 69/125
Prof. Dr. Max Horn (Universität Siegen)
On the Construction and Classification of ‘Small’ Groups
In this talk, we will review how each finite group can be disassembled into a unique set of "simple" groups, similar to the unique prime factorization of natural numbers. This raises various questions; for example: which simple pieces are there? And: in which ways can one glue these pieces together to form new finite groups? The main focus of this talk will be on this last question, and we will discuss it in the context of classifying (almost) all groups of order at most 20,000.
04.12.2019 um 17:15 Uhr in 69/125
Prof. Dr. Matthew Kahle (The Ohio State University)
Random 2-Dimensional Simplicial Complexes
We will survey the emerging field of stochastic topology, especially from a combinatorial point of view. In particular, we will discuss a number of results by various people for the 2-dimensional random simplicial complex introduced by Linial and Meshulam in 2006. We will pay particularly attention to thresholds for various topological properties, and the notion of a "phase transition". We will also point out some open problems and promising directions for future work. This talk is intended for a broad mathematical audience, and will largely be self contained.