Colloquium
3:30 p.m., Friday
Math 100
Christopher M. Skinner
Institute for Advanced Study
Princeton
The diophantine equation a^n+b^n=2c^2
Call an integral solution (a,b,c) to the equation in the title
"primitive" if a, b, and c have no common divisor. Using an analysis
of modular forms and their associated Galois representations one
can show that for "large" n the only primitive solutions satisfy
ab=1 or 1.
