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SUMMARY:Tangli Ge (Princeton University)
DTSTART:20251113T210000Z
DTEND:20251113T220000Z
DTSTAMP:20260423T005829Z
UID:ANTS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTS/19/">Sp
 arsity of intersections with group subschemes within an abelian scheme</a>
 \nby Tangli Ge (Princeton University) as part of Calgary Algebra and Numbe
 r Theory Seminar\n\nLecture held in MS 337.\n\nAbstract\nI will talk about
  a unification of two bounded height results around abelian varieties. The
  first is Silverman’s specialization theorem\, which states for an abeli
 an scheme A/C with no fixed part over a curve C\, that the set of points o
 n C where the generic Mordell—Weil group fails to specialize injectively
  has bounded height. The second is by Habegger in an abelian variety: a su
 itable subvariety intersected with all torsion cosets up to complementary 
 dimension gives a set of bounded height. I will take the point of view fro
 m unlikely intersections and discuss the key idea of the arithmetic part o
 f the proof by homomorphism approximations using Ax—Schanuel results.\n
LOCATION:https://researchseminars.org/talk/ANTS/19/
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