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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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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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Representations Of Real And P-adic Groups

principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion;

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P-adic Aspects Of Modular Forms

The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are;

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Ottawa Lectures on Admissible Representations of Reductive P-adic Groups

theory of p-adic groups: the classification and construction of their (complex) admissible representations, the calculation of their characters;

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Derived Langlands

base-change and epsilon factors for locally p-adic Lie groups are illustrated by the analogous Shintani descent and Kondo-Gauss sums;

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The p-adic Simpson Correspondence (AM-193)

results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost etale extensions and a;

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The p-adic Simpson Correspondence (AM-193)

results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost etale extensions and a;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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Automorphic Forms And Galois Representations: Volume 1

in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and;

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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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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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The Classical Fields

The classical fields are the real, rational, complex and p-adic numbers. Each of these fields comprises several intimately interwoven;

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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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P-Adic Analysis

1989, was dedicated to the memory of Philippe Robba, his important contributions to p-adic analysis and especially to the theory of p-adic;

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Lectures on N_X(p)

techniques in l-adic cohomology and group representations, presented in a context that is appealing to specialists in number theory and algebraic;

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Automorphic Forms & Galois Representati

in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and;

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L-Functions And Galois Representations

representations of GL(2) over p-adic fields. There are also research articles by: Boeckle, Buzzard, Cornut and Vatsal, Diamond, Hida, Kurihara and R;

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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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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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Berkeley Lectures on p-adic Geometry

informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the;

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Representations of Reductive Groups: In Honor of the 60th Birthday of David A. Vogan, Jr.

ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including;

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Galois Representations and Phi, Gamma-modules

p-adic Galois representations to seemingly much simpler objects of (semi)linear algebra, the so-called etale (phi, gamma)-modules. This book;

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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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Euler Systems. (AM-147), Volume 147

systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s;

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p-adic Analysis Compared with Real

spaces) are also included in the book. They will enhance the reader's understanding of real analysis and intertwine the real and $p$-adic;

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