Model Theory of Valued Difference Fields

In this thesis we investigate the model theoretic properties of valued difference fields, that is, valued fields equipped with a distinguished automorphism. We carry out this study in two different contexts depending on the interaction between the valuation and the distinguished automorphism. In both contexts we obtain analogues of the classical results from the model theory of valued fields. We also present a treatment of valued fields in equal characteristic p > 0 as valued difference fields equipped with the Frobenius endomorphism.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Azgin, Salih

Contributors dc:contributor

• van den Dries, Lou

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3290170

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86881