Download e-book for iPad: Galois Representations and (Phi, Gamma)-Modules (Cambridge by Peter Schneider

By Peter Schneider

realizing Galois representations is likely one of the significant targets of quantity thought. round 1990, Fontaine devised a technique to check such p-adic Galois representations to likely a lot easier 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 thought. The shut connection among absolutely the Galois teams of neighborhood quantity fields and native functionality fields in optimistic attribute is verified utilizing the new idea of perfectoid fields and the tilting correspondence. the writer works within the normal framework of Lubin–Tate extensions of neighborhood quantity fields, and offers an creation to Lubin–Tate formal teams and to the formalism of ramified Witt vectors. This ebook will let graduate scholars to obtain the required foundation for fixing a study challenge during this zone, whereas additionally supplying researchers a few of the simple 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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