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Poincaré institute


Reinventing rational points

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Seminar

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Rational points in fibrations

Lilian Matthiesen

I will describe progress on Serre’s problem on the number of varieties in a family that have a rational point. In particular, I will focus on the analytic part of this work which involves tools from additive combinatorics as well as results on multiplicative functions. This is joint work with Dan Loughran.