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SUMMARY:Large solutions of small equations - Professor H. Darmon (McGill U
 niversity)
DTSTART:20070501T160000Z
DTEND:20070501T170000Z
UID:TALK6458@talks.cam.ac.uk
CONTACT:4993
DESCRIPTION:The fact that the smallest solution of a Diophantine equation 
 can often be\nquite large relative to the size of the equation has been a 
 source of\nbafflement--and delight--for number theorists  since at least t
 he time of\nFermat. It remains one of the least well understood phenomena 
 in the study\nof Diophantine equations. I will discuss a few  equations\, 
 like the\nFermat-Pell equation\, and elliptic curves\, in which some (stil
 l very\nlimited) theoretical understanding has been achieved.
LOCATION:Wolfson Room (MR 2) Centre for Mathematical Sciences\, Wilberforc
 e Road\, Cambridge
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