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Arithmetic Fundamental Groups and Noncommutative Algebra
About this Title
Michael D. Fried, University of California, Irvine, CA and Yasutaka Ihara, RIMS, Kyoto University, Kyoto, Japan, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
2002; Volume 70
ISBNs: 978-0-8218-2036-0 (print); 978-0-8218-9375-3 (online)
DOI: https://doi.org/10.1090/pspum/070
ReadershipTable of Contents
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Front/Back Matter
Part 1: $G_{\mathbb {Q}}$ action on moduli spaces of covers
- Pierre Dèbes – Descent theory for algebraic covers [MR 1935403]
- Jordan S. Ellenberg – Galois invariants of dessins d’enfants [MR 1935404]
- Hiroaki Nakamura – Limits of Galois representations in fundamental groups along maximal degeneration of marked curves. II [MR 1935405]
- Paul Bailey and Michael D. Fried – Hurwitz monodromy, spin separation and higher levels of a modular tower [MR 1935406]
- Stefan Wewers – Field of moduli and field of definition of Galois covers [MR 1935407]
- Yasutaka Ihara – Some arithmetic aspects of Galois actions in the pro-$p$ fundamental group of $\mathbb {P}^1-\{0,1,\infty \}$ [MR 1935408]
- Romyar T. Sharifi – Relationships between conjectures on the structure of pro-$p$ Galois groups unramified outside $p$ [MR 1935409]
- Hiroaki Nakamura and Zdzisław Wojtkowiak – On explicit formulae for $l$-adic polylogarithms [MR 1935410]
Part 2. Curve covers in positive characteristic
- Akio Tamagawa – Fundamental groups and geometry of curves in positive characteristic [MR 1935411]
- Michel Raynaud – Sur le groupe fondamental d’une courbe complète en caractéristique $p > 0$ [MR 1935412]
- Michael D. Fried and Ariane Mézard – Configuration spaces for wildly ramified covers [MR 1935413]
- Marco A. Garuti – Linear systems attached to cyclic inertia [MR 1935414]
- Robert Guralnick and Katherine F. Stevenson – Prescribing ramification [MR 1935415]
Part 3. Specials groups for covers of the punctured sphere
- Shreeram S. Abhyankar – Desingularization and modular Galois theory [MR 1935416]
- Dan Frohardt, Robert Guralnick and Kay Magaard – Genus 0 actions of groups of Lie rank 1 [MR 1935417]
- Helmut Völklein – Galois realizations of profinite projective linear groups [MR 1935418]
Part 4. Fundamental groupoids and Tannakian categories
- Shlomo Gelaki – Semisimple triangular Hopf algebras and Tannakian categories [MR 1935419]
- Phùng Hồ Hải – On a theorem of Deligne on characterization of Tannakian categories [MR 1935420]
- Shinichi Mochizuki – A survey of the Hodge-Arakelov theory of elliptic curves I [MR 1935421]