Logic Seminar

Nonstandard analysis and Diophantine equations

Martino Lupini, School of Mathematics and Statistics, Victoria University of Wellington,

I will give an overview of the application of nonstandard methods to the study of partition regularity of Diophantine equations. I will the explain how these methods can be used to generalize the classical Rado criterion for linear equations to obtain natural necessary conditions for arbitrary Diophantine equations, which are also sufficient for certain degree 2 equations. This is joint work with Jordan M. Barrett and Joel Moreira.

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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].