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Title: Galois groups and anabelian reconstruction
Author: Strømmen, Kristian John
ISNI:       0000 0004 6352 950X
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2015
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In this thesis we investigate the problem of recovering arithmetic structure on a field F from small quotients of its absolute Galois group. In particular, we are interested in recovering the p-adic valuation on a p-adic field from such quotients. After establishing several such results, we apply this to obtain strong versions of the Birational Section Conjecture for curves over p-adic fields. We also discuss the model-theoretic interpretation of these results, as well as begin investigating the foundations of a model-theory of schemes.
Supervisor: Koenigsmann, Jochen Sponsor: Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available