Kolloquien WS 2024/25
Vorheriges Semester Nächstes Semester
Montag, 04.11.2024: The field of p-adic numbers and some basics about its absolute Galois group
Elmar Große-Klönne
PRE_COLLOQUIUM: I want to briefly explain the construction of the field of p-adic numbers and explain some of its basic structural features as well as its absolute Galois group. I will then give some motivation for studying the representation theory of the latter.
Uhrzeit: | 16:00 |
Ort: | N14 |
Gruppe: | Kolloquium |
Montag, 04.11.2024: Weights in Families: How Galois representations live together
Elmar Große-Klönne
Abstract: Let Q_p denote the field of p-adic numbers for a prime p and let G be its Galois group. A group homomorphisms r:G -> GL_n(k) for a field k is called a Galois representation. The famous Langlands program suggests that such representations r have ‘automorphic incarnations’ in the world of modular forms (n=2) and in this way give rise to a set W(r) of ‘weights’. There is a natural notion of ‘families’ of such Galois representations and the corresponding variations of the sets W(r) obey intricate combinatorial laws.
Uhrzeit: | 17:15 |
Ort: | N14 |
Gruppe: | Kolloquium |
Einladender: | Deitmar |
Freitag, 06.12.2024: SWAG, Swabian Algebraic Geometry Seminar
Frederik Witt, Jürgen Hausen
special session of the Oberseminar Combinatorial Algebraic Geometry, joint with colleagues from Universities of Stuttgart and Ulm
Uhrzeit: | 14:00 - 18:00 |
Ort: | N14 |
Gruppe: | Kolloquium |
Einladender: | Daniele Agostini, Hannah Markwig |
Freitag, 13.12.2024: Strong cosmic censorship: how singularities restore determinism
Dr. Jan Sbierski (University of Edinburgh)
16:00-16:45 Uhr Vor-Kolloquium im N14 für Studierende und Promovierende, moderiert von Saradha Senthil Velu, Vortragender Dr. Jan Sbierski The breakdown of classical determinism in the interior of black holes The aim of this pre-colloquium is to explain in some detail the mechanism that can lead to the breakdown of classical determinism in the interior of black holes. This mechanism will be demonstrated by the example of the spherically symmetric scalar wave equation. We will recall the notions of Lorentzian causality, introduce the concept of a Penrose diagram, present an example of a black hole spacetime, and work through the initial value problem for the spherically symmetric scalar wave equation. Kolloquium 17:15 Strong cosmic censorship: how singularities restore determinism It has been known for a long time that classical determinism can break down in the interior of rotating black holes. In 1968 Roger Penrose found a heuristic mechanism that leads to an instability and the subsequent formation of a singularity in the interior of such black holes. It is the formation of such a singularity that is expected to generically restore determinism. This scenario is known as the strong cosmic censorship conjecture. In this talk I will review this conjecture and also recent progress towards its resolution.
Uhrzeit: | 16:00 |
Ort: | N14 |
Gruppe: | Kolloquium |
Einladender: | Cederbaum |