Derived Ell Adic Categories For Algebraic Stacks

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Derived Ell Adic Categories For Algebraic Stacks
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Author : Kai Behrend
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Derived Ell Adic Categories For Algebraic Stacks written by Kai Behrend 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 2003 with Mathematics categories.
This text is intended for graduate students and research mathematicians interested in algebraic geometry, category theory and homological algebra.
Derived Ell Adic Categories For Algebraic Stacks
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Author : Kai Behrend
language : en
Publisher: Oxford University Press, USA
Release Date : 2014-09-11
Derived Ell Adic Categories For Algebraic Stacks written by Kai Behrend and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Algebra, Homological categories.
Introduction The $\ell$-adic formalism Stratifications Topoi Algebraic stacks Convergent complexes Bibliography.
Geometry Of Moduli Spaces And Representation Theory
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Author : Roman Bezrukavnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-15
Geometry Of Moduli Spaces And Representation Theory written by Roman Bezrukavnikov 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 2017-12-15 with Mathematics categories.
This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program “Geometry of moduli spaces and representation theory”, and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory. Geometric representation theory is a young but fast developing research area at the intersection of these subjects. An early profound achievement was the famous conjecture by Kazhdan–Lusztig about characters of highest weight modules over a complex semi-simple Lie algebra, and its subsequent proof by Beilinson-Bernstein and Brylinski-Kashiwara. Two remarkable features of this proof have inspired much of subsequent development: intricate algebraic data turned out to be encoded in topological invariants of singular geometric spaces, while proving this fact required deep general theorems from algebraic geometry. Another focus of the program was enumerative algebraic geometry. Recent progress showed the role of Lie theoretic structures in problems such as calculation of quantum cohomology, K-theory, etc. Although the motivation and technical background of these constructions is quite different from that of geometric Langlands duality, both theories deal with topological invariants of moduli spaces of maps from a target of complex dimension one. Thus they are at least heuristically related, while several recent works indicate possible strong technical connections. The main goal of this collection of notes is to provide young researchers and experts alike with an introduction to these areas of active research and promote interaction between the two related directions.
Galois Covers Grothendieck Teichm Ller Theory And Dessins D Enfants
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Author : Frank Neumann
language : en
Publisher: Springer Nature
Release Date : 2020-09-26
Galois Covers Grothendieck Teichm Ller Theory And Dessins D Enfants written by Frank Neumann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-26 with Mathematics categories.
This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmüller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018. Within the theme of the workshop, the collected articles cover a broad range of topics and explore exciting new links between algebraic geometry, representation theory, group theory, number theory and algebraic topology. The book combines research and overview articles by prominent international researchers and provides a valuable resource for researchers and students alike.
Hilbert Modular Forms Mod P And P Adic Aspects
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Author : Fabrizio Andreatta
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Hilbert Modular Forms Mod P And P Adic Aspects written by Fabrizio Andreatta 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.
We study Hilbert modular forms in characteristic $p$ and over $p$-adic rings. In the characteristic $p$ theory we describe the kernel and image of the $q$-expansion map and prove the existence of filtration for Hilbert modular forms; we define operators $U$, $V$ and $\Theta_\chi$ and study the variation of the filtration under these operators. Our methods are geometric - comparing holomorphic Hilbert modular forms with rational functions on a moduli scheme with level-$p$ structure, whose poles are supported on the non-ordinary locus.In the $p$-adic theory we study congruences between Hilbert modular forms. This applies to the study of congruences between special values of zeta functions of totally real fields. It also allows us to define $p$-adic Hilbert modular forms 'a la Serre' as $p$-adic uniform limit of classical modular forms, and compare them with $p$-adic modular forms 'a la Katz' that are regular functions on a certain formal moduli scheme. We show that the two notions agree for cusp forms and for a suitable class of weights containing all the classical ones. We extend the operators $V$ and $\Theta_\chi$ to the $p$-adic setting.
The Maximal Subgroups Of Positive Dimension In Exceptional Algebraic Groups
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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Maximal Subgroups Of Positive Dimension In Exceptional Algebraic Groups written by Martin W. Liebeck 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 2004 with Mathematics categories.
Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.
Banach Embedding Properties Of Non Commutative L P Spaces
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Author : U. Haagerup
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Banach Embedding Properties Of Non Commutative L P Spaces written by U. Haagerup 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 2003 with Mathematics categories.
Let $\mathcal N$ and $\mathcal M$ be von Neumann algebras. It is proved that $L DEGREESp(\mathcal N)$ does not linearly topologically embed in $L DEGREESp(\mathcal M)$ for $\mathcal N$ infinite, $\mathcal M$ finit
On Central Critical Values Of The Degree Four L Functions For Mathrm Gsp 4 The Fundamental Lemma
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Author : Masaaki Furusawa
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
On Central Critical Values Of The Degree Four L Functions For Mathrm Gsp 4 The Fundamental Lemma written by Masaaki Furusawa 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 2003 with Mathematics categories.
Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].
An Analogue Of A Reductive Algebraic Monoid Whose Unit Group Is A Kac Moody Group
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Author : Claus Mokler
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
An Analogue Of A Reductive Algebraic Monoid Whose Unit Group Is A Kac Moody Group written by Claus Mokler 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.
By an easy generalization of the Tannaka-Krein reconstruction we associate to the category of admissible representations of the category ${\mathcal O}$ of a Kac-Moody algebra, and its category of admissible duals, a monoid with a coordinate ring. The Kac-Moody group is the Zariski open dense unit group of this monoid. The restriction of the coordinate ring to the Kac-Moody group is the algebra of strongly regular functions introduced by V. Kac and D. Peterson. This monoid has similar structural properties as a reductive algebraic monoid. In particular it is unit regular, its idempotents related to the faces of the Tits cone. It has Bruhat and Birkhoff decompositions. The Kac-Moody algebra is isomorphic to the Lie algebra of this monoid.
Generative Complexity In Algebra
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Author : Joel Berman
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Generative Complexity In Algebra written by Joel Berman 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.
Considers the behavior of $\mathrm{G}_\mathcal{C}(k)$ when $\mathcal{C}$ is a locally finite equational class (variety) of algebras and $k$ is finite. This title looks at ways that algebraic properties of $\mathcal{C}$ lead to upper or lower bounds on generative complexity.