The GAUSS speaker today is Gerard Koffi. He's going to be talking
about "A Look at the ABC Conjecture via Elliptic Curves: An Algebraic
Approach." All are welcome to attend, and snacks will be provided.
I'll paste his abstract at the bottom of this message.
If you'd like to keep up to date on what is happening in GAUSS, our
website is http://math.uiowa.edu/~
any questions or comments about GAUSS e-mail either me or Trent, or
talk to us in person, or write one of us a personal letter.
Finally, if you haven't voted already today is the day.
Your GAUSS co-organizers,
Trent and Ross
Speaker: Gerard Koffi
Title: A Look at the ABC Conjecture via Elliptic Curves: An Algebraic Approach
When and where: Tuesday, November 2, 2010, 4:30 P.M., 118 MLH
Abstract:
The ABC conjecture is a central open problem in number theory. It was
formulated in 1985 by Joseph Oesterle and David Masser, who worked
separately but eventually proposed equivalent conjectures. Consistent
with many problems in number theory, the ABC conjecture can be stated
in relatively simple, understandable terms. However, there are several
profound implications of the ABC conjecture. Fermat's Last Theorem is
one such implication. We study the connection between elliptic curves
and ABC triples. Two important results are proved. The first gives a
method for finding new ABC triples. The second result states
conditions under which the power of the new ABC triple increases or
decreases. Finally and if time permit, we present two algorithms
stemming from these two results.
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