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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20231023T164005Z
DTSTART:20231107T150000Z
DTEND:20231107T160000Z
SUMMARY:Manchester Number Theory Seminar - Diana Mocanu
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}g1z4-ln3bjc
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DESCRIPTION:Speaker: Diana Mocanu (Warwick)\n\nTitle: The modular approac
h for solving x^r+y^r=z^p\n\nAbstract: Since Wiles’ famous proof of Ferm
at’s Last Theorem\, number theorists extensively studied Diophantine equ
ations using the modular approach. I will describe a variation of this m
ethod using (partial results about) modularity of elliptic curves over t
otally real fields\, image of inertia comparison\, and the study of cert
ain S-unit equations. Then\, we will see how to attack the equation x^r
+ y^r = z^p (fixed r\, varying p) using the above method. If time permit
s\, I will present a first step towards a generalized version of the mod
ular approach\, which uses higher dimensional analogues of Frey elliptic
curves in order to find solutions to the same equation.\n\nRoom: Frank
Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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