Fibrations with few rational points
- đ¤ Speaker: Arne Smeets (Imperial College London, KU Leuven) đ Website
- đ Date & Time: Tuesday 02 February 2016, 15:45 - 16:45
- đ Venue: MR12, Centre for Mathematical Sciences
Abstract
We study the problem of counting the number of varieties in families which have a rational point. We give geometric conditions on the singular fibres that force very few of the varieties in the family to have a rational point, in a precise quantitative sense. This builds on ideas and techniques developed by Serre, and generalises and unifies existing results in the literature by Serre, Browning-Dietmann, Bright-Browning-Loughran, Graber-Harris-Mazur-Starr, âĻ This is joint work with Daniel Loughran (Hannover).
Series This talk is part of the Number Theory Seminar series.
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Arne Smeets (Imperial College London, KU Leuven) 
Tuesday 02 February 2016, 15:45-16:45