Seminar series
Date
Thu, 19 Feb 2015
11:00
11:00
Location
C5
Speaker
Philip Dittman
Organisation
Oxford
Motivated by an open conjecture in anabelian geometry, we investigate which arithmetic properties of the rationals are encoded in the absolute Galois group G_Q. We give a model-theoretic framework for studying absolute Galois groups and discuss in what respect orderings and valuations of the field are known to their first-order theory. Some questions regarding local-global principles and the transfer to elementary extensions of Q are raised.