Progress in Galois Theory: Proceedings of John Thompson’s 70th Birthday Conference

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The theme of this book are the interactions between group theory and algebra/geometry/number theory, showing ubiquity and power of the basic principle of Galois theory. The book presents recent developments in a major line of work about covers of the projective line (and other curves), their fields of definition and parameter spaces, and associated questions about arithmetic fundamental groups. This is intimately tied up with the Inverse Problem of Galois Theory, and uses methods of algebraic geometry, group theory and number theory.

Author(s): Voelklein H, and Shaska T.
Series: Developments in Mathematics
Edition: 1
Year: 2004

Language: English
Pages: 179

0387235337......Page 1
Contents......Page 6
Preface......Page 8
Supplementary thoughts on symplectic groups......Page 12
Automorphisms of the modular curve......Page 36
Reducing the Fontaine-Mazur conjecture to group theory......Page 50
Relating two genus 0 problems of John Thompson......Page 62
Relatively projective groups as absolute Galois groups......Page 98
Invariants of binary forms......Page 112
Some classical views on the parameters of GT......Page 134
The image of a Hurwitz space under the moduli map......Page 146
Very simple representations: variations on a theme of Clifford......Page 162