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SUMMARY:Barinder Banwait (Boston University)
DTSTART:20221115T213000Z
DTEND:20221115T223000Z
DTSTAMP:20260423T130129Z
UID:MITNT/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/62/">T
 owards strong uniformity for isogenies of prime degree</a>\nby Barinder Ba
 nwait (Boston University) as part of MIT number theory seminar\n\nLecture 
 held in Room 2-143 in the Simons Building (building 2).\n\nAbstract\nLet $
 E$ be an elliptic curve over a number field $k$ of degree $d$ that admits 
 a $k$-rational isogeny of prime degree $p$. We study the question of findi
 ng uniform bounds on $p$ that depend only $d$\, and\, under a certain cond
 ition on the signature of the isogeny\, explicitly construct non-zero inte
 gers that $p$ must divide. As a corollary\, we find a bound on prime order
  torsion points defined over unramified extensions of the base field. This
  is work in progress joint with Maarten Derickx.\n
LOCATION:https://researchseminars.org/talk/MITNT/62/
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