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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > p-adic integrals and rational points on families of curves

## p-adic integrals and rational points on families of curvesAdd to your list(s) Download to your calendar using vCal - Netan Dogra (King's College London)
- Wednesday 22 June 2022, 09:45-10:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights Caporaso, Harris and Mazur showed that Lang’s conjecture on rational points on varieties of general type implies a certain ‘arithmetic correlation’ between rational points on hyperbolic curves in families. More precisely, it implies that the rational points on a suitably large fibre power of the family are not Zariski dense. In this talk, we explain some arithmetic correlation results which can be proved for ‘low rank’ points, using a suitable notion of p-adic integration or p-adic period maps. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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