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Thesis

Galois groups and anabelian reconstruction

Abstract:

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...

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Department:
Keble College, University of Oxford
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Author

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Department:
University of Oxford, Mathematics Institute
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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