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

By Peter Schneider

ISBN-10: 110718858X

ISBN-13: 9781107188587

realizing Galois representations is likely one of the critical objectives of quantity thought. round 1990, Fontaine devised a technique 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 ebook is the 1st to supply an in depth and self-contained creation to this conception. The shut connection among absolutely the Galois teams of neighborhood quantity fields and native functionality fields in confident attribute is demonstrated utilizing the hot concept 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 e-book will permit graduate scholars to procure the required foundation for fixing a study challenge during this sector, whereas additionally supplying researchers the various easy leads to one handy location.

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Galois Representations and (Phi, Gamma)-Modules (Cambridge Studies in Advanced Mathematics) by Peter Schneider


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