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UC Berkeley Model Theory Seminar: On Transformations in the Painlevé family. February 12, 2014 (02:00 PM PST - 03:15 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Joel Nagloo (University of Leeds)
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The Painlevé equations are nonlinear 2nd order ODE 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. In this talk I will explain how one can use model theory to answer the question of whether there exist algebraic relations between solutions of different Painlevé equations from the families P1 - P6.

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