Thursday 28 Feb 2013Rational points of bounded height and the Weil restriction.

Daniel Loghran - Bristol

Harrison 106 14:00-15:00

If one is interested in studying diophantine equations over
> number fields, there is a clever trick due to Weil where one may move
> the problem from the number field setting to the usual field of rational
numbers by performing a "restriction of scalars". In this talk, we
consider the problem of how the height of a solution (a measure of the
complexity of a solution) changes under this process, and in particular
how the number of solutions of bounded height changes.

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