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This volume contains three long lecture series by J.L.
Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are
respectively the connection between algebraic K-theory and the
torsion algebraic cycles on an algebraic variety, a new approach to
Iwasawa theory for Hasse-Weil L-function, and the applications of
arithemetic geometry to Diophantine approximation. They contain
many new results at a very advanced level, but also surveys of the
state of the art on the subject with complete, detailed profs and a
lot of background. Hence they can be useful to readers with very
different background and experience. CONTENTS: J.L.
Colliot-Thelene: Cycles algebriques de torsion et K-theorie
algebrique.- K. Kato: Lectures on the approach to Iwasawa theory
for Hasse-Weil L-functions.- P. Vojta: Applications of arithmetic
algebraic geometry to diophantine approximations.
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