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SUMMARY:An introduction to descent calculations on elliptic curves. -Jiali
  Yan (dpmms). - Jiali Yan (dpmms)
DTSTART:20200307T104000Z
DTEND:20200307T111000Z
UID:TALK140737@talks.cam.ac.uk
CONTACT:73969
DESCRIPTION:The explicit rank of the group of rational points of an ellipt
 ic curve is a center of interest in computational number theory. This is b
 ecause the ranks are closely related to explicit rational solutions to cer
 tain algebraic equations. One common method of obtaining an upper bound fo
 r the rank is via the descent calculation.\nThis talk begins with an intro
 duction to elliptic curves and descent calculation. We will explore how th
 e descent calculation can bound the rank of elliptic curves. In the end\, 
 we will briefly discuss some generalisation of this method.
LOCATION:Winstanley Lecture Theatre\, Trinity College
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