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, 13.12.2024: TBA
Dr. Jan Sbierski (University of Edinburgh)
TBA
Uhrzeit: | 17:15 |
Ort: | N14 |
Gruppe: | Kolloquium |
Einladender: | Cederbaum |