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SUMMARY:p-adic integrals and rational points on families of curves - Netan
  Dogra (King's College London)
DTSTART:20220622T084500Z
DTEND:20220622T094500Z
UID:TALK174422@talks.cam.ac.uk
DESCRIPTION:Caporaso\, Harris and Mazur showed that Lang's conjecture on r
 ational points on varieties of general type implies a certain 'arithmetic 
 correlation' between rational points on hyperbolic curves in families. Mor
 e precisely\, it implies that the rational points on a suitably large fibr
 e power of the family are not Zariski dense. In this talk\, we explain som
 e arithmetic correlation results which can be proved for 'low rank' points
 \, using a suitable notion of p-adic integration or p-adic period maps.
LOCATION:Seminar Room 1\, Newton Institute
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