Diophantine Approximation Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, June 28-July 6, 2000

The C.I.M.E. session in Diophantine Approximation, held in Cetraro (Italy) June 28 - July 6, 2000 focused on height theory, linear independence and transcendence in group varieties, Baker's method, approximations to algebraic numbers and applications to polynomial-exponential diophantine equations and to diophantine theory of linear recurrences. Very fine lectures by D. Masser, Y. Nesterenko, H.-P. Schlickewei, W.M. Schmidt and M. Waldschmidt have resulted giving a good overview of these topics, and describing central results, both classical and recent, emphasizing the new methods and ideas of the proofs rather than the details. They are addressed to a wide audience and do not require any prior specific knowledge.Amoroso, F. is the author of 'Diophantine Approximation Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, June 28-July 6, 2000' with ISBN 9783540403920 and ISBN 3540403922.