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SUMMARY:Lennart Gehrmann (Universität Duisburg-Essen)
DTSTART:20220310T104500Z
DTEND:20220310T114500Z
DTSTAMP:20260423T021418Z
UID:NTUniPD/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTUniPD/1/">
 Algebraicity of polyquadratic plectic points</a>\nby Lennart Gehrmann (Uni
 versität Duisburg-Essen) as part of Number Theory Seminars at Università
  degli Studi di Padova\n\n\nAbstract\nHeegner points play an important rol
 e in our understanding of the arithmetic of modular elliptic curves. These
  points\, that arise from CM points on Shimura curves\, control the Mordel
 l-Weil group of elliptic curves of rank 1. The work of Bertolini\, Darmon 
 and their schools has shown that p-adic methods can be successfully employ
 ed to generalize the definition of Heegner points to quadratic extensions 
 that are not necessarily CM. Numerical evidence strongly supports the beli
 ef that these so-called Stark-Heegner points completely control the Mordel
 l-Weil group of elliptic curves of rank 1. In this talk I will report on a
  plectic generalizations of Stark-Heegner points. Inspired by Nekovar and 
 Scholl's conjectures\, these points are expected to control Mordell-Weil g
 roups of higher rank elliptic curves. I will give strong evidence for this
  expectation in the case of polyquadratic CM fields. This is joint work wi
 th Michele Fornea.\n
LOCATION:https://researchseminars.org/talk/NTUniPD/1/
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