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Period Domains over Finite and p-adic Fields

local Langlands correspondences and in the recent conjectural p-adic local Langlands program. The authors provide numerous worked examples and;

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Period Spaces for p-divisible Groups (AM-141), Volume 141

In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the;

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Modular Representation Theory of Finite and p-ADIC Groups

This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical;

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Pseudodifferential Operators and Wavelets over Real and p adic Fields

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at;

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Rigid Cohomology over Laurent Series Fields

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive;

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London Mathematical Society Lecture Note Series

of characteristic, p, P-adic rings and, in some cases, just principal ideal domains, as well as modules of such group rings. The approach does not emphasize;

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Cambridge Studies in Advanced Mathematics

-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking;

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Elementary and Analytic Theory of Algebraic Numbers

includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution;

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Algebraic Curves and Cryptography

over finite fields. The topics covered include Schoof's $ell$-adic point counting algorithm, the $p$-adic algorithms of Kedlaya and Denef-Vercauteren;

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Advances in Non-Archimedean Analysis and Applications

-adic reaction-diffusion equations and biological models, p-adic models in geophysics, stochastic processes in ultrametric spaces, applications;

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Advances in Ultrametric Analysis

algebras, G -modules with a convex base, non-compact Trace class operators and Schatten-class operators in p -adic Hilbert spaces, algebras;

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Harish-Chandra Homomorphisms for P-adic Groups

This book introduces a systematic new approach to the construction and analysis of semi simple $p$-adic groups. The basic construction;

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Introduction to p-adic Analytic Number Theory

book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this;

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The p-adic Simpson Correspondence (AM-193)

family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J. M. Fontaine. The;

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The p-adic Simpson Correspondence (AM-193)

family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J. M. Fontaine. The;

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Rigid Cohomology

cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it;

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P-Adic Functional Analysis

This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p;

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Mathematical Sciences Research Institute Publications

Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications;

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Mathematical Sciences Research Institute Publications

Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications;

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London Mathematical Society Lecture Note Series

starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to;

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Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers;

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London Mathematical Society Lecture Note Series

This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts;

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Ultrametric Pseudodifferential Equations and Applications

, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations;

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Theory of p-adic Distributions

This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution;

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Dynamics in One Non-Archimedean Variable

in algebra and analysis under their belts, although some previous exposure to non-archimedean fields, such as the $p$-adic numbers, is recommended;

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Value Distribution in P-Adic Analysis

distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic;

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