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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20230419T154249Z
DTSTART:20230509T140000Z
DTEND:20230509T150000Z
SUMMARY:Manchester Number Theory Seminar - Philippe Michaud-Jacobs
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}y1bv-lgdgrz
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DESCRIPTION:Speaker: Philippe Michaud-Jacobs (Warwick)\n\nTitle: Isogenie
 s of elliptic curves and Diophantine equations\n\nAbstract: Isogenies ar
 e the basic building blocks of maps between elliptic curves. In 1978\, M
 azur gave a complete classification of the possible prime degrees of iso
 genies between elliptic curves defined over the rationals. This result i
 s now known as Mazur's isogeny theorem\, and perhaps its most spectacula
 r consequence is the pivotal role it plays in the proof of Fermat's Last
  Theorem. In this talk\, I will discuss Mazur's isogeny theorem\, some i
 deas behind its proof\, and the way it features in the resolution of var
 ious families of Diophantine equations within the framework of a strateg
 y known as the modular method. I'll also focus on the challenges one fac
 es when seeking to extend Mazur's isogeny theorem to number fields other
  than the rationals\, state some results obtained in this direction\, an
 d highlight some important Diophantine consequences.\n\nRoom: Frank Adam
 s 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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