# 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 24th 2017, Saarbrücken, Hörsaal IV, Geb. E2 4.

TimeNameTitle
14:00 - 14:50Carlo SircanaOn the construction of number fields with
solvable Galois group
15:00 - 15:50Felix LeidRandom Matrix Models and Topological Recursion
16:00 - 16:50Ruwen HollenbachGroups 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 7th 2018, Kaiserslautern, 48-438

TimeNameTitle
15:00-15:50Simon SchmidtQuantum automorphism groups of finite graphs
16:00-16:50Ulrike FaltingsOn the Characters of the Sylow 2-Subgroup of $F_4(2^n)$ and Decomposition Numbers
17:00-17:50Christian SteinhartLittle 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.