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Periods of Quaternionic Shimura Varieties. I.

of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have;

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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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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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p-Adic Automorphic Forms on Shimura Varieties

study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at;

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Abelian Varieties with Complex Multiplication and Modular Functions

of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity;

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

general Shimura varieties are established. The exposition includes background material on Grothendieck's mysterious functor (Fontaine theory;

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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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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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Intersections of Hirzebruch-Zagier Divisors and CM Cycles

information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series;

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

This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura;

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Spectral Theory on the S-Spectrum for Quaternionic Operators

The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a;

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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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Quaternionic Approximation

This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also;

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Operator Theory on One-Sided Quaternion Linear Spaces

Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a;

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Complex Multiplication and Lifting Problems

theory of Shimura varieties. They are special in characteristic 0 and ubiquitous over finite fields. This book explores the relationship between;

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Galois Representations in Arithmetic Algebraic Geometry

attention, e.g. Erez on geometric trends in Galois module theory; Mazur on rational points on curves and varieties; Moonen on Shimura varieties;

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Period Mappings and Period Domains

of Shimura varieties.;

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Period Mappings and Period Domains

of Shimura varieties.;

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O Minimality & Diophantine Geometry

and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura;

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Trends in Contemporary Mathematics

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program;

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Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem

The aim of this book is to give an account of some important new developments in the study of the Yamabe problem on quaternionic contact;

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Shimura Varieties

representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate;

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Arithmetic and Geometry

-provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians;

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Arithmetic and Geometry

-provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians;

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