This book contains eight expository articles by well-known authors
of the theory of Galois groups and fundamental groups. They focus
on presenting developments, avoiding classical aspects which have
already been described at length in the standard literature. The
volume grew from the special semester held at the MSRI in Berkeley
in 1999 and many of the results are due to work accomplished during
that program. Among the subjects covered are elliptic surfaces,
Grothendieck's anabelian conjecture, fundamental groups of curves
and differential Galois theory in positive characteristic. Although
the articles contain fresh results, the authors have striven to
make them as introductory as possible, making them accessible to
graduate students as well as researchers in algebraic geometry and
number theory. The volume also contains a lengthy overview by Leila
Schneps that sets the individual articles into the broader context
of contemporary research in Galois groups.
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