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p-Adic Automorphic Forms on Shimura Varieties

holomorphic automorphic forms on Shimura varieties and also for more general (nonholomorphic) cohomological automorphic forms on automorphic manifolds;

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Automorphic Forms & Galois Representati

in volume two include curves and vector bundles in p-adic Hodge theory, associators, Shimura varieties, the birational section conjecture, and other;

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Arithmetic Compactifications of PEL-Type Shimura Varieties

of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be;

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Compactifications of Pel-Type Shimura Varieties and Kuga Families with Ordinary Loci

foundation of several recent developments in the theory of p-adic automorphic forms; and of the author's work with Harris, Taylor, and Thorne on the;

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Shimura Varieties

This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On;

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

), on moduli problems of p-divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an exposition of some;

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Automorphic Forms And Galois Representations: Volume 1

representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered;

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Automorphic Forms And Shimura Varieties Of Pgsp(2)

The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular;

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Periods of Quaternionic Shimura Varieties. I.

This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement;

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On Certain L-Functions

, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of p-adic groups, Plancherel;

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Families of Automorphic Forms and the Trace Formula

spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. This book provides and;

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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

differential operators on modular forms which have nice arithmetical properties. A new method of p-adic interpolation of these critical values;

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Geometry, Algebra, Number Theory, and Their Information Technology Applications

-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties;

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Introduction to Arithmetic Theory of Automorphic Functions

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost;

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Eisenstein Series and Automorphic Representations

Eisenstein series on G(A) as well as the Casselman-Shalika formula for the p-adic spherical Whittaker function. This book also covers more advanced;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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The Eigenbook

This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them;

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The Eigenbook

This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them;

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The Gross-Zagier Formula on Shimura Curves

incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This;

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The Gross-Zagier Formula on Shimura Curves

incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This;

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Collected Papers V: 2002-2012

In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: To Goro Shimura for his important and extensive work on;

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The Map of My Life

anecdotes. Goro Shimura is Professor Emeritus of Mathematics at Princeton University. In 1996, he received the Leroy P. Steele Prize for;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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