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Topic Archive: Painleve equations

Model theory seminarKolchin seminar in Differential AlgebraFriday, September 19, 201412:30 pmGC 5382

Ronnie Nagloo

Model theory and the Painlevé equations

CUNY Graduate Center

The PainlevĂ© equations are nonlinear 2nd order ODEs and come in six families P1,…, P6, where P1 consists of the single equation $y′′=6y^2+t$, and P2,…, P6 come with some complex parameters. They were discovered strictly for mathematical considerations at the beginning of the 20th century but have arisen in a variety of important physical applications, including for example random matrix theory and general relativity.