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SUMMARY:Marc Masdeu (Universitat Autònoma de Barcelona)
DTSTART:20220418T130000Z
DTEND:20220418T140000Z
DTSTAMP:20260423T021345Z
UID:GANT/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/8/">Num
 erical experiments with plectic Darmon points</a>\nby Marc Masdeu (Univers
 itat Autònoma de Barcelona) as part of Greek Algebra & Number Theory Semi
 nar\n\n\nAbstract\nLet $E/F$ be an elliptic curve defined over a number fi
 eld $F$\, and let $K/F$ be a quadratic extension. If the analytic rank of 
 $E(K)$ is one\, one can often use Heegner points (or the more general Darm
 on points) to produce (at least conjecturally) a nontorsion generator of $
 E(K)$. If the analytic rank of $E(K)$ is larger than one\, the problem of 
 constructing algebraic points is still very open. In recent work\, Michele
  Fornea and Lennart Gehrmann have introduced certain $p$-adic quantities t
 hat may be conjecturally related to the existence of these points. In this
  talk I will explain their construction\, and illustrate with some numeric
 al experiments some support for their conjecture. This is joint work with 
 Michele Fornea and Xevi Guitart.\n
LOCATION:https://researchseminars.org/talk/GANT/8/
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