Galois Theory and the S-unit Equation

20 October 2014
16:00
Netan Dogra
Abstract
For a finite set of primes S, the S-unit equation asks for solutions to a+b=1, with
a and b rational numbers which are units at all primes not in S. By a theorem of Siegel,
for any given S this equation will only have finitely many solutions. This talk will review
the relation between this equation and other Diophantine problems, and will explain a
Galois-theoretic approach to proving Siegel's theorem.
  • Junior Number Theory Seminar