IRTG-Seminar WS 2017/2018

This semester we will have two meetings with the IRTG-Seminar. The first one will take place in Saarbrücken, the second one in Kaiserslautern.

First Meeting: Friday, November 24^th 2017, Saarbrücken, Hörsaal IV, Geb. E2 4.

Time	Name	Title
14:00 - 14:50	Carlo Sircana	On the construction of number fields with solvable Galois group
15:00 - 15:50	Felix Leid	Random Matrix Models and Topological Recursion
16:00 - 16:50	Ruwen Hollenbach	Groups of Lie type and the Malle-Robinson Conjecture

Abstracts of the first meeting

Carlo's talk: We will deal with the problem of constructing extensions of the rationals with a given solvable Galois group. It is well know that, given a solvable group, there exists an extension of the rationals with such a group as Galois group (Shafarevich, 1954) but the proof does not give a method to find such an extension. Class field theory gives a tool to construct these fields and we will
discuss some of the main issues of this approach.

Second Meeting: Wednesday, February 7^th 2018, Kaiserslautern, 48-438

Time	Name	Title
15:00-15:50	Simon Schmidt	Quantum automorphism groups of finite graphs
16:00-16:50	Ulrike Faltings	On the Characters of the Sylow 2-Subgroup of $F_4(2^n)$ and Decomposition Numbers
17:00-17:50	Christian Steinhart	Little strolls in Outer Space

Abstracts of the second meeting

Simon's talk: Symmetry constitutes an important property of a graph. It is captured by its automorphism group. We will speak about a generalization in the framework of compact quantum groups and obtain a stronger graph invariant.

Christian's talk: The talk will give an introduction in Outer Space alias Culler-Vogtmann-space
i.e. the moduli space of marked, metric graphs and a little bit the context of this space.
The main interest will be the geometric structure of the space in regard of the Lipschitz/Thurston-metric.
We will follow the philoshophy, that if we know the geodesics in the space good enough, we know the space,
hence we will discuss, how little strolls will help us in determining geometric behaviour of this space.