Anabelian number theory and geometry

Abstract

Workshop Lorentz Center Leiden 3-4-5/XII/2001 In June 1983 and in January 1984 Grothendieck stated a surprising conjecture, see[22],[23]. Gradually we start getting convinced that this daring idea, the anabelian conjecture is the right approach, recently several cases of this startling conjecture have been proved to be true. It might very well be that this gives a key method in number theory and in algebraic geometry Hence we thought that we should get better acquainted with this circle of ideas. Number theorists and algebraic geometers in The Netherlands organize a Workshop in which the conjecture in cases of number fields and of algebraic curves are discussed