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.

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.