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CATEGORIES:Lectures & Guest Speakers
DESCRIPTION:Speaker: Dr. Mike Bennett\, University of British Columbia\n\nT
itle: Distance between squares and perfect powers \n\nAbstract: The modular
method originally developed by Wiles to prove Fermatâ€™s Last Theorem has be
en subsequently used to treat a variety of classical Diophantine problems.
In this talk\, I will attempt to describe the strengths and limitations of
this approach. As an example\, I will survey recent work on the classical L
ebesgue-Nagell equation x^2+D=y^n\, when the prime divisors of D are restri
cted to a fixed finite set S. This is joint work with Samir Siksek and\, in
part\, with Philippe Michaud-Jacobs. Our results rely upon a combination o
f various results based upon the modularity of Galois representations\, wit
h bounds for linear forms in logarithms.
DTEND:20230407T193000Z
DTSTAMP:20231205T114333Z
DTSTART:20230407T183000Z
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SEQUENCE:0
SUMMARY:Mathematics Colloquium seminar series
UID:tag:localist.com\,2008:EventInstance_42826381457014
URL:https://calendar.kennesaw.edu/event/mathematics_colloquium_seminar_seri
es_3976
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