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SUMMARY:Torsion points of elliptic curves via Berkovich spaces over Z - J
 érôme Poineau\, Université de Caen
DTSTART:20221026T131500Z
DTEND:20221026T141500Z
UID:TALK182825@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Berkovich spaces over Z may be seen as fibrations containing c
 omplex analytic spaces as well as p-adic analytic spaces\, for every prime
  number p. We will give an introduction to those spaces and explain how th
 ey may be used in an arithmetic context to prove height inequalities. As a
 n application\, following a strategy by DeMarco-Krieger-Ye\, we will give 
 a proof of a conjecture of Bogomolov-Fu-Tschinkel on uniform bounds on the
  number of common images on P^1 of torsion points of two elliptic curves.
LOCATION:CMS MR13
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