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SUMMARY:Holly Green (University College London)
DTSTART:20230111T160000Z
DTEND:20230111T170000Z
DTSTAMP:20260418T064247Z
UID:LNTS/86
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/86/">An
  arithmetic analogue of the parity conjecture</a>\nby Holly Green (Univers
 ity College London) as part of London number theory seminar\n\nLecture hel
 d in Rm. 505\, UCL Department of Mathematics (UCL Union Building).\n\nAbst
 ract\nI will present a new method to compute the parity of the rank of an 
 elliptic curve and will comment on how this construction generalises to Ja
 cobians of curves. This method involves studying the local arithmetic atta
 ched to covers of the curve. In addition\, I will discuss applications to 
 the Birch and Swinnerton-Dyer conjecture\, including a new proof of the pa
 rity conjecture for elliptic curves. This is joint work with Vladimir Dokc
 hitser\, Alexandros Konstantinou\, Céline Maistret and Adam Morgan.\n
LOCATION:https://researchseminars.org/talk/LNTS/86/
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