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Automorphic Forms And Shimura Varieties Of Pgsp(2)

admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and;

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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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Arithmetic Compactifications of PEL-Type Shimura Varieties

accessible to graduate students who have an understanding of schemes and abelian varieties. PEL-type Shimura varieties, which are natural;

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

varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical;

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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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Shimura Varieties

structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic;

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Automorphic Representations Of Low Rank Groups

is stated and proved by means of character relations.This permits an intrinsic definition of partition of the automorphic representations of SL(2;

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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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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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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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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence;

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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

), Arithmeticity in the Theory of Automorphic Forms (AMS 2000), and Introduction to the Arithmetic Theory of Automorphic Functions (Princeton University;

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Automorphic Forms on Adele Groups. (AM-83), Volume 83

theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on;

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Modern Analysis of Automorphic Forms By Example

This is Volume 2 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using;

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Modern Analysis of Automorphic Forms By Example

decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. Volume 2 features automorphic Green's functions, metrics and topologies;

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Cambridge Studies in Advanced Mathematics

This two-volume book provides a self-contained introduction to the theory and application of automorphic forms, using examples to;

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London Mathematical Society Lecture Note Series

The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic;

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On Certain L-Functions

. Contributions illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their L-functions, and;

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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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Families of Automorphic Forms

relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the;

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Shafarevich Maps and Automorphic Forms

other applications involving other topics as well--such as Abelian varieties, theta functions, and automorphic forms on bounded domains. The;

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