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Number Theory Seminar

Thursday, May 26, 2016
4:00pm to 5:00pm
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Diophantine Stability
Barry Mazur, Professor, Mathematics, Harvard University,

A variety $V$ over a number field $K$ is {\bf Diophantine stable for the extension $L/K$} if the set of $K$-rational points of $V$ is {\it equal} to the set of its $L$-rational points. Following my Alaoglu Memorial Lecture {\it ``Relatively few rational points"} I will discuss recent joint work with Karl Rubin: theorems regarding Diophantine stability, and computations related to a `heuristic' that lead to some striking guesses about it.

For more information, please contact Mathematics Department by email at mathinfo@caltech.edu or visit http://math.caltech.edu/~numbertheory/.