Alan Baker's 60th birthday in August 1999 offered an ideal
opportunity to organize a conference at ETH Zurich with the goal of
presenting the state of the art in number theory and geometry. Many
of the leaders in the subject were brought together to present an
account of research in the last century as well as speculations for
possible further research. The papers in this volume cover a broad
spectrum of number theory including geometric, algebrao-geometric
and analytic aspects. This volume will appeal to number theorists,
algebraic geometers, and geometers with a number theoretic
background. However, it will also be valuable for mathematicians
(in particular research students) who are interested in being
informed in the state of number theory at the start of the 21st
century and in possible developments for the future.
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