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SUMMARY:Stephanie Chan (University of Michigan)
DTSTART:20220425T201500Z
DTEND:20220425T211500Z
DTSTAMP:20260423T024611Z
UID:BUNT/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUNT/11/">In
 tegral points in families of elliptic curves</a>\nby Stephanie Chan (Unive
 rsity of Michigan) as part of Boston University Number Theory Seminar\n\n\
 nAbstract\nGiven an elliptic curve over a number field with its Weierstras
 s model\, we can study the integral points on the curve. Taking an infinit
 e family of elliptic curves and imposing some ordering\, we may ask how of
 ten a curve has an integral point and how many integral points there are o
 n average. We expect that elliptic curves with any non-trivial integral po
 ints are generally very sparse. In certain quadratic and cubic twist famil
 ies\, we prove that almost all curves contain no non-trivial integral poin
 ts.\n\nSee http://math.bu.edu/research/algebra/seminar.html\n
LOCATION:https://researchseminars.org/talk/BUNT/11/
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