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SUMMARY:Umberto Zannier (Scuola Normale Superiore di Pisa (Italy))
DTSTART:20210520T140000Z
DTEND:20210520T150000Z
DTSTAMP:20260423T023015Z
UID:DinAmicI/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/24/
 ">Torsion values of sections\, elliptical billiards and diophantine proble
 ms in dynamics</a>\nby Umberto Zannier (Scuola Normale Superiore di Pisa (
 Italy)) as part of DinAmicI: Another Internet Seminar\n\n\nAbstract\nAfter
  a very brief review of basics on elliptic curves and their families\, we 
 shall consider "sections" of such  families\, and especially their "torsio
 n values". For instance\, what can be said of the complex numbers b for wh
 ich (2\, \\sqrt{2(2-b)}) is torsion on the Legendre curve y^2=x(x-1)(x-b)?
  In particular\, we shall recall results of "Manin-Mumford type" and focus
  to illustrate some applications to elliptical billiards. Finally\, if tim
 e allows we shall frame these issues as special cases of a general questio
 n in arithmetic dynamics\, which can be treated with different methods\, d
 epending on the context.\n(Most results refer to work with Pietro Corvaja 
 and David Masser.)\n
LOCATION:https://researchseminars.org/talk/DinAmicI/24/
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