Alladi Ramakrishnan Hall
The Subspace Theorem in Diophantine Approximation
Hans-Peter Schlickewei
University of Marburg, Germany
The Subspace Theorem deals with simultaneous approximation of algebraic
numbers by rational numbers.
In the talk I will first give a historical survey on the development of
the subject.
In particular, I will discuss the p-adic generalization of the theorem.
In the second part of the talk I will give examples of applications to
diophantine equations, culminating in the result of J.H.Evertse,
W.M.Schmidt and myself on the intersection of a linear torus with a
multiplicative group of finite rank.
Done