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SUMMARY:p-adic unlikely intersections and rational points on curves - Neta
 n Dogra (University of Oxford)
DTSTART:20190514T133000Z
DTEND:20190514T143000Z
UID:TALK123670@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Chabauty's method aims to find rational points on a higher gen
 us curve by exploiting the fact that their p-adic logarithms satisfy non-t
 rivial identities. \nWhen applying this method over number fields\, one en
 counters the problem of proving that the set of p-adic points satsifying t
 hese identities is finite\, \nor equivalently of ruling out the existence 
 of 'unlikely intersections' between the different zero sets. In this talk 
 I will describe how ideas in functional \ntranscendence can be used to und
 erstand this problem\, and its non-abelian generalisation due to Kim.
LOCATION:MR13
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