Title	Irreducibility and generic ODEs
Creator	Nagloo, Joel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-06-05T09:02
Description	The <i>irreducibility</i> of an ODE is a notion that was introduce by P. Painlevé at the turn of the 20th century and later refined by H. Umemura. Roughly, an ODE is irreducible if all of its solutions are â newâ functions. This notion is also almost equivalent to <i>strong minimality</i>, a central notion in model theory. In this talk we will go over the definitions of these concepts and discuss new methods to prove that ODEs with generic constant parameters are irreducible. We use the Painlevé equations as examples.
Extent	34.0 minutes
Subject	Mathematics; Mathematical logic and foundations; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: City University of New York
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-12-03
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395127
URI	http://hdl.handle.net/2429/76644
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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