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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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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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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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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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Abelian Varieties with Complex Multiplication and Modular Functions

laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. 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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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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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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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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Period Mappings and Period Domains

geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes;

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Period Mappings and Period Domains

geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes;

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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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Complex Projective Geometry

giving good compactifications of natural families? which differential techniques are needed for the study of families of projective varieties;

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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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Flag Varieties

and some important applications - singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between;

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Complex Multiplication and Lifting Problems

Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary;

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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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Chirurgie Des Grassmanniennes

minimal and include basic algebraic geometry, and standard facts about Grassmann varieties, their Plucker embeddings, and toric varieties. The;

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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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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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Affine Flag Varieties and Quantum Symmetric Pairs

The quantum groups of finite and affine type $A$ admit geometric realizations in terms of partial flag varieties of finite and affine type;

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Working Therapeutically With Families

types of family. Chapters are organized by family type, and include divorced families, families with an incarcerated parent, grandparent-led;

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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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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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