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Netan Dogra (King's College London)
Wednesday 22 June 2022, 09:45-10:45
p-adic integrals and rational points on families of curves
â ī¸ Important: KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights
- đ¤ Speaker: Netan Dogra (King's College London)
- đ Date & Time: Wednesday 22 June 2022, 09:45 - 10:45
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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