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Smooth Compactification Of Locally Symmetric Varieties


Smooth Compactification Of Locally Symmetric Varieties
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Smooth Compactifications Of Locally Symmetric Varieties


Smooth Compactifications Of Locally Symmetric Varieties
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Author :
language : en
Publisher:
Release Date : 2010

Smooth Compactifications Of Locally Symmetric Varieties written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Algebraic varieties categories.


The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry. At the same time, the book has been completely re-typeset, errors have been eliminated, proofs have been streamlined, the notation has been made consistent and uniform, an index has been added, and a guide to recent literature has been added. The book brings together ideas from algebraic geometry, differential geometry, representation theory and number theory, and will continue to prove of value for researchers and graduate students in these areas.



Smooth Compactification Of Locally Symmetric Varieties


Smooth Compactification Of Locally Symmetric Varieties
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Author : Avner Ash
language : en
Publisher:
Release Date : 1975

Smooth Compactification Of Locally Symmetric Varieties written by Avner Ash and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.




Smooth Compactifications Of Locally Symmetric Varieties


Smooth Compactifications Of Locally Symmetric Varieties
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Author : Avner Ash
language : en
Publisher: Cambridge University Press
Release Date : 2010-01-14

Smooth Compactifications Of Locally Symmetric Varieties written by Avner Ash and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-14 with Mathematics categories.


The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry.



Compactifications Of Symmetric And Locally Symmetric Spaces


Compactifications Of Symmetric And Locally Symmetric Spaces
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Author : Armand Borel
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-25

Compactifications Of Symmetric And Locally Symmetric Spaces written by Armand Borel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-25 with Mathematics categories.


Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology



Smooth Compactification Of Locally Symmetric


Smooth Compactification Of Locally Symmetric
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1975

Smooth Compactification Of Locally Symmetric written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.




Lie Groups Smooth Compactification Of Locally Symmetric Varieties


Lie Groups Smooth Compactification Of Locally Symmetric Varieties
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Author : Sophus Lie
language : de
Publisher:
Release Date : 1975

Lie Groups Smooth Compactification Of Locally Symmetric Varieties written by Sophus Lie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Lie groups categories.




Harmonic Analysis The Trace Formula And Shimura Varieties


Harmonic Analysis The Trace Formula And Shimura Varieties
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Author : Clay Mathematics Institute. Summer School
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Harmonic Analysis The Trace Formula And Shimura Varieties written by Clay Mathematics Institute. Summer School and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.



Compactifications Of Pel Type Shimura Varieties And Kuga Families With Ordinary Loci


Compactifications Of Pel Type Shimura Varieties And Kuga Families With Ordinary Loci
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Author : Kai-wen Lan
language : en
Publisher: #N/A
Release Date : 2017-07-21

Compactifications Of Pel Type Shimura Varieties And Kuga Families With Ordinary Loci written by Kai-wen Lan and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-21 with Mathematics categories.


This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical 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 construction of Galois representations without any polarizability conditions, which is a major breakthrough in the Langlands program.This book is important for active researchers and graduate students who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas. It also contains precise internal and external references, and an index of notation and terminologies. These are useful for readers to quickly locate materials they need.



Compactifying Moduli Spaces For Abelian Varieties


Compactifying Moduli Spaces For Abelian Varieties
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Author : Martin C. Olsson
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-25

Compactifying Moduli Spaces For Abelian Varieties written by Martin C. Olsson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-25 with Mathematics categories.


This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.



Harmonic Analysis On Symmetric Spaces And Applications I


Harmonic Analysis On Symmetric Spaces And Applications I
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Author : Audrey Terras
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Harmonic Analysis On Symmetric Spaces And Applications I written by Audrey Terras and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteries of the physical world of quasars, brain tumors, and so forth, as well as the mysteries of the nonphysical, but no less concrete, world of prime numbers, diophantine equations, and zeta functions. Quoting Courant and Hilbert, in the preface to the first German edition of Methods of Mathematical Physics: "Recent trends and fashions have, however, weakened the connection between mathematics and physics. " Such trends are still in evidence, harmful though they may be. My main motivation in writing these notes has been a desire to counteract this tendency towards specialization and describe appli cations of harmonic analysis in such diverse areas as number theory (which happens to be my specialty), statistics, medicine, geophysics, and quantum physics. I remember being quite surprised to learn that the subject is useful. My graduate eduation was that of the 1960s. The standard mathematics graduate course proceeded from Definition 1. 1. 1 to Corollary 14. 5. 59, with no room in between for applications, motivation, history, or references to related work. My aim has been to write a set of notes for a very different sort of course.