N. N

Wilhelm Killing Kolloquium: Prof. Dr. Jochen Koenigsmann (University of Oxford) in person: Encoding arithmetic in Galois groups

Thursday, 07.07.2022 16:30 im Raum M2

Mathematik und Informatik

In the footsteps of Galois, we shall try to recover arithmetic properties from Galois theoretic data. In particular, we shall analyse what arithmetic information about a field K is encoded in its absolute Galois group G(K), i.e., the Galois group of a separable closure of K over K. This is the universal Galois group over K in the sense that every other Galois group over K is a quotient of G(K). It is by now well known that for real closed or p-adically closed fields, G(K) "knows everything" about the arithmetic of K. More recently, it was established that if K is the field of rational numbers, then G(K) knows "almost everything" - we shall make this precise and indicate main steps for the proof during the talk.

Angelegt am Tuesday, 22.03.2022 11:08 von N. N
Geändert am Wednesday, 18.05.2022 11:16 von N. N
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Kolloquium Wilhelm Killing