Diophantine Approximation


July 28 – August 2, 2003



Diophantine Approximation is the branch of number theory dealing with problems such as whether certain given numbers are rational or irrational, or algebraic or transcendental, and how well given numbers can be approximated by rational or algebraic numbers. The field has many applications, for instance to Diophantine equations or Diophantine geometry. The purpose of the workshop was to discuss new developments in Diophantine approximation and its applications. There were about 50 registered participants all over the world, which had been invited by the coordinators. On July 30 there was a special symposium for a general audience in honor of Professor Robert Tijdeman.


During the workshop there were lectures in the morning and in the late afternoon, with large breaks in between. Thursday afternoon and Saturday afternoon were free. Most of the lectures were half hour reports on new work. In addition there were some survey lectures of 45 minutes. In the lectures, a very broad range of Diophantine approximation was covered: irrationality and transcendence problems, approximation of real numbers by algebraic numbers, applications to Diophantine equations, elliptic curves and Diophantine geometry, connections with Nevanlinna theory, transcendence results for Drin’feld modules, and computational aspects of Diophantine approximation.


The meeting was a succesfull one. The level of the lectures was good to excellent, a large area of the subject was covered, and there was ample time for informal contacts and discussions. Beginning next year there will be a special issue of Acta Arithmetica in honor of Rob Tijdeman. In this issue a number of papers presented during the conference will appear.


Another important factor in the success was the congenial atmosphere of the Lorentz Center with its offices and meeting places. The friendly cooperation and the efforts of its staff made the workshop into a smooth operation. We would like to thank them heartily for it.


F. Beukers (University Utrecht, The Netherlands)

J-H. Evertse (Leiden University, The Netherlands)

P. Moree (University Amsterdam, The Netherlands)