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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20221019T143005Z
DTSTART:20221108T150000Z
DTEND:20221108T160000Z
SUMMARY:Manchester Number Theory Seminar - Pedro Cazorla Garcia
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}kfg-l8vge0x
 4-fqz5mq
DESCRIPTION:Speaker: Pedro Cazorla Garcia (University of Manchester)\n\nT
 itle: The generalised Lebesgue-Ramanujan-Nagell equation\n\nAbstract:  T
 he Lebesgue-Ramanujan-Nagell equation x^2 + D = y^n has been studied ext
 ensively by number theorists during the last century\, both by its intri
 nsic interest and as a generalisation to Catalan's conjecture. With the 
 advent of the modular methodology developed by Wiles\, Ribet and others 
 and employed in the proof of Fermat's last theorem\, along with the evol
 ution of computational number theory techniques\, it is now feasible to 
 consider the generalised Lebesgue-Ramanujan-Nagell equation C1x^2 + C2 =
  y^n. \n\nIn this talk\, we will discuss a variety of techniques which a
 llow us to solve the aforementioned equation in the range 1 <= C1\, C2 <
 = 20\, involving the modularity of Galois representations and Thue equat
 ions. All of this is joint work with Vandita Patel.\n\nRoom: Frank Adams
  1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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