Theoretical Statistics and Mathematics Unit, ISI Delhi

August 21, 2013 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Pranabesh Das,
Indian Statistical Institute, Delhi

Title:
Roth's Theorem on Approximation of Algebraic Number by Rationals and Generalizations

Abstract of Talk

One the fundamental results in Diophantine Approximation is the Thue-Siegel-Roth Theorem, also known as Roth's Theorem. In this talk, I will give a survey of results on Diophantine Approximation of Algebraic Number by Rationals starting from Liouville. I will also present a proof of Roth's Theorem and talk about some generalizations and applications.