Galois Groups and Fundamental Groups
Galois Groups and Fundamental Groups by Leila Schneps, published by Cambridge University Press on July 21, 2003, is a comprehensive volume consisting of 467 pages in English. This book presents eight expository articles authored by prominent figures in the field, focusing on recent advancements in the theory of Galois groups and fundamental groups, while intentionally steering clear of classical topics that have been extensively covered in existing literature.
Readers will find discussions on various subjects, including elliptic surfaces, Grothendieck’s anabelian conjecture, and differential Galois theory in positive characteristic. The articles aim to be introductory, making them suitable for both graduate students and researchers in algebraic geometry and number theory. Additionally, the volume features an extensive overview by Leila Schneps, which contextualizes the individual contributions within the contemporary landscape of research in Galois groups.
Official synopsis Publisher
Eight expository articles by well-known authors of the theory of Galois groups and fundamental groups focus on recent 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 new 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 original 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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