School of Mathematics Seminars and Lectures
Finiteness results in Diophantine equations
by Ms. Divyum Sharma (TIFR, Mumbai)
Friday, September 5, 2014
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-77 )
at Colaba Campus ( AG-77 )
Description |
Techniques from Diophantine approximation have many applications to Diophantine equations. For instance, the Thue-Siegel-Roth theorem can be used to prove that the so-called Thue equations have only finitely many solutions. However, the proof does not yield a bound on the size of solutions and is therefore ineffective. In this talk, we will discuss some applications of Roth's theorem and its higher-dimensional generalization to Diophantine equations. |