Galois Representations and (Phi, Gamma)-Modules (Cambridge by Peter Schneider PDF

By Peter Schneider

ISBN-10: 110718858X

ISBN-13: 9781107188587

knowing Galois representations is likely one of the imperative ambitions of quantity concept. round 1990, Fontaine devised a method to match such p-adic Galois representations to likely a lot less complicated items of (semi)linear algebra, the so-called etale (phi, gamma)-modules. This e-book is the 1st to supply an in depth and self-contained advent to this concept. The shut connection among absolutely the Galois teams of neighborhood quantity fields and native functionality fields in confident attribute is validated utilizing the new conception of perfectoid fields and the tilting correspondence. the writer works within the common framework of Lubin–Tate extensions of neighborhood quantity fields, and gives an advent to Lubin–Tate formal teams and to the formalism of ramified Witt vectors. This publication will permit graduate scholars to procure the required foundation for fixing a examine challenge during this zone, whereas additionally providing researchers a number of the easy leads to one handy location.

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