Title	Classification Theory and the Construction of PAC Fields
Creator	Ramsey, Nick
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-18T10:03
Description	A field K is called pseudo-algebraically closed (PAC) if every absolutely irreducible variety defined over K has a K-rational point. These fields were introduced by Ax in his characterization of pseudo-finite fields and have since become an important object of model-theoretic study. A remarkable theorem of Chatzidakis proves that, in a precise sense, independent amalgamation in a PAC field is controlled by independent amalgamation in the absolute Galois group. We will describe how this theorem and a graph-coding construction of Cherlin, van den Dries, and Macintyre may be combined to construct PAC fields with prescribed model-theoretic properties.
Extent	48.0
Subject	Mathematics; Mathematical logic and foundations; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California at Berkeley
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-04-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378257
URI	http://hdl.handle.net/2429/69729
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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