Arithmetic And Geometry Around Galois Theory Pierre Debes Et Al Eds by Pierre Dèbes; Et Al (eds.) 9783034804875, 3034804873 instant download after payment.

This Lecture Notes volume is the fruit of two research-level summer schools jointly organized by the GTEM node at Lille University and the team of Galatasaray University (Istanbul): "Geometry and Arithmetic of Moduli Spaces of Coverings (2008)" and "Geometry and Arithmetic around Galois Theory (2009)". The volume focuses on geometric methods in Galois theory. The choice of the editors is to provide a complete and comprehensive account of modern points of view on Galois theory and related moduli problems, using stacks, gerbes and groupoids. It contains lecture notes on étale fundamental group and fundamental group scheme, and moduli stacks of curves and covers. Research articles complete the collection. Read more... Algebraic Stacks with a View Toward Moduli Stacks of Covers / José Bertin -- Models of Curves / Matthieu Romagny -- Galois Categories / Anna Cadoret -- Fundamental Groupoid Scheme / Michel Emsalem -- Extension of Galois Groups by Solvable Groups, and Application to Fundamental Groups of Curves / Niels Borne -- On the "Galois Closure" for Finite Morphisms / Marco A. Garuti -- Hasse Principle and Cohomology of Groups / Jean-Claude Douai -- Periods of Mixed Tate Motives, Examples, l-adic Side / Zdzisłlaw Wojtkowiak -- On Totally Ramified Extensions of Discrete Valued Fields / Lior Bary-Soroker, Elad Paran -- An Octahedral Galois-Reflection Tower of Picard Modular Congruence Subgroups / Rolf-Peter Holzapfel, Maria Petkova