Periods of Quaternionic Shimura Varieties

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Publisher :
ISBN 13 : 9781470464189
Total Pages : pages
Book Rating : 4.4/5 (641 download)

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Book Synopsis Periods of Quaternionic Shimura Varieties by : Atsushi Ichino

Download or read book Periods of Quaternionic Shimura Varieties written by Atsushi Ichino and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of L-functions and constructing geometric realizations of Lan.

Periods of Quaternionic Shimura Varieties. I.

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Publisher : American Mathematical Society
ISBN 13 : 1470448947
Total Pages : 214 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Periods of Quaternionic Shimura Varieties. I. by : Atsushi Ichino

Download or read book Periods of Quaternionic Shimura Varieties. I. written by Atsushi Ichino and published by American Mathematical Society. This book was released on 2021-02-23 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of $L$-functions and constructing geometric realizations of Langlands functoriality for automorphic forms on quaternion algebras.

Quaternion Fusion Packets

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Publisher : American Mathematical Soc.
ISBN 13 : 1470456656
Total Pages : 444 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Quaternion Fusion Packets by : Michael Aschbacher

Download or read book Quaternion Fusion Packets written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2021-04-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let p p be a prime and S S a finite p p-group. A p p-fusion system on S S is a category whose objects are the subgroups of S and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory. The book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program. The first part of the program aims to determine a large subclass of the class of simple 2-fusion systems, while part two seeks to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups.

The semi-simple zeta function of quaternionic Shimura varieties

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Publisher : Springer
ISBN 13 : 354068414X
Total Pages : 152 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis The semi-simple zeta function of quaternionic Shimura varieties by : Harry Reimann

Download or read book The semi-simple zeta function of quaternionic Shimura varieties written by Harry Reimann and published by Springer. This book was released on 2006-11-14 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. In an appendix a conjecture of Langlands and Rapoport on the reduction of a Shimura variety in a very general case is restated in a slightly stronger form. The reader is expected to be familiar with the basic concepts of algebraic geometry, algebraic number theory and the theory of automorphic representation.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

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Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5396 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Sirakov Boyan

Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Abelian Varieties and Number Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470452073
Total Pages : 200 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Abelian Varieties and Number Theory by : Moshe Jarden

Download or read book Abelian Varieties and Number Theory written by Moshe Jarden and published by American Mathematical Soc.. This book was released on 2021-05-03 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles on Abelian varieties and number theory dedicated to Gerhard Frey's 75th birthday. It contains original articles by experts in the area of arithmetic and algebraic geometry. The articles cover topics on Abelian varieties and finitely generated Galois groups, ranks of Abelian varieties and Mordell-Lang conjecture, Tate-Shafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to local-global principles over semi-global fields, Drinfeld modular varieties, representations of etale fundamental groups and specialization of algebraic cycles, Deuring's theory of constant reductions, etc. The book will be a valuable resource to graduate students and experts working on Abelian varieties and related areas.

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties

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Publisher : American Mathematical Soc.
ISBN 13 : 1470453274
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by : Paola Comparin

Download or read book Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties written by Paola Comparin and published by American Mathematical Soc.. This book was released on 2021-04-23 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Advances in the Theory of Automorphic Forms and Their $L$-functions

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Publisher : American Mathematical Soc.
ISBN 13 : 147041709X
Total Pages : 376 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Advances in the Theory of Automorphic Forms and Their $L$-functions by : Dihua Jiang

Download or read book Advances in the Theory of Automorphic Forms and Their $L$-functions written by Dihua Jiang and published by American Mathematical Soc.. This book was released on 2016-04-29 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the workshop on “Advances in the Theory of Automorphic Forms and Their L-functions” held in honor of James Cogdell's 60th birthday, held from October 16–25, 2013, at the Erwin Schrödinger Institute (ESI) at the University of Vienna. The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their L-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of p-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, L-functions for classical groups, special values of L-functions, Howe duality, subconvexity for L-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on L-functions, nodal sets and geometry.

Cohomology of Arithmetic Groups and Automorphic Forms

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Publisher : Springer
ISBN 13 : 3540468765
Total Pages : 358 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Cohomology of Arithmetic Groups and Automorphic Forms by : Jean-Pierre Labesse

Download or read book Cohomology of Arithmetic Groups and Automorphic Forms written by Jean-Pierre Labesse and published by Springer. This book was released on 2006-11-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.

Algebraic Cycles and Motives: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 0521701740
Total Pages : 293 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Algebraic Cycles and Motives: Volume 1 by : Jan Nagel

Download or read book Algebraic Cycles and Motives: Volume 1 written by Jan Nagel and published by Cambridge University Press. This book was released on 2007-05-03 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

Arithmetic, Geometry, Cryptography, and Coding Theory 2021

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Publisher : American Mathematical Society
ISBN 13 : 1470467941
Total Pages : 198 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Arithmetic, Geometry, Cryptography, and Coding Theory 2021 by : Samuele Anni

Download or read book Arithmetic, Geometry, Cryptography, and Coding Theory 2021 written by Samuele Anni and published by American Mathematical Society. This book was released on 2022-07-06 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, held (online) from May 31 to June 4, 2021. For over thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers together to forge connections between arithmetic geometry and its applications to coding theory and to cryptography. The papers illustrate the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois representations attached to elliptic curves, reconstruction of curves from their Jacobians, isogeny graphs of abelian varieties, hypergeometric equations, and Drinfeld modules.

Advances in Inverse Problems for Partial Differential Equations

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Publisher : American Mathematical Society
ISBN 13 : 1470469685
Total Pages : 218 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Advances in Inverse Problems for Partial Differential Equations by : Dinh-Liem Nguyen

Download or read book Advances in Inverse Problems for Partial Differential Equations written by Dinh-Liem Nguyen and published by American Mathematical Society. This book was released on 2023-04-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021. The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods. The volume provides an interesting source on advances in computational inverse problems for partial differential equations.

Algebra and Coding Theory

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Publisher : American Mathematical Society
ISBN 13 : 147046859X
Total Pages : 270 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebra and Coding Theory by : A. Leroy

Download or read book Algebra and Coding Theory written by A. Leroy and published by American Mathematical Society. This book was released on 2023-05-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in honor of Tariq Rizvi, held from July 5–7, 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held on July 8, 2021, both of which were hosted by the Université d'Artois, Lens, France. The articles cover topics in commutative and noncommutative algebra and applications to coding theory. In some papers, applications of Frobenius rings, the skew group rings, and iterated Ore extensions to coding theory are discussed. Other papers discuss classical topics, such as Utumi rings, Baer rings, nil and nilpotent algebras, and Brauer groups. Still other articles are devoted to various aspects of the elementwise study for rings and modules. Lastly, this volume includes papers dealing with questions in homological algebra and lattice theory. The articles in this volume show the vivacity of the research of noncommutative rings and its influence on other subjects.

Arithmetic, Geometry, Cryptography and Coding Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470454262
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory by : Stéphane Ballet

Download or read book Arithmetic, Geometry, Cryptography and Coding Theory written by Stéphane Ballet and published by American Mathematical Soc.. This book was released on 2021-07-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.

Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs

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Publisher : American Mathematical Society
ISBN 13 : 147046652X
Total Pages : 148 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs by : Emanuel Indrei

Download or read book Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs written by Emanuel Indrei and published by American Mathematical Society. This book was released on 2023-01-09 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the virtual conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, held from February 28–March 1, 2021, and hosted by Purdue University, West Lafayette, IN. The mathematical content of this volume is at the intersection of viscosity theory, Fourier analysis, mass transport theory, fractional elliptic theory, and geometric analysis. The reader will encounter, among others, the following topics: the principal-agent problem; Maxwell's equations; Liouville-type theorems for fully nonlinear elliptic equations; a doubly monotone flow for constant width bodies; and the edge dislocations problem for crystals that describes the equilibrium configurations by a nonlocal fractional Laplacian equation.

Differential Geometry and Global Analysis

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Publisher : American Mathematical Society
ISBN 13 : 1470460157
Total Pages : 242 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Differential Geometry and Global Analysis by : Bang-Yen Chen

Download or read book Differential Geometry and Global Analysis written by Bang-Yen Chen and published by American Mathematical Society. This book was released on 2022-04-07 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930–2017), held January 16, 2020, in Denver, Colorado. Tadashi Nagano was one of the great Japanese differential geometers, whose fundamental and seminal work still attracts much interest today. This volume is inspired by his work and his legacy and, while recalling historical results, presents recent developments in the geometry of symmetric spaces as well as generalizations of symmetric spaces; minimal surfaces and minimal submanifolds; totally geodesic submanifolds and their classification; Riemannian, affine, projective, and conformal connections; the $(M_{+}, M_{-})$ method and its applications; and maximal antipodal subsets. Additionally, the volume features recent achievements related to biharmonic and biconservative hypersurfaces in space forms, the geometry of Laplace operator on Riemannian manifolds, and Chen-Ricci inequalities for Riemannian maps, among other topics that could attract the interest of any scholar working in differential geometry and global analysis on manifolds.

Stochastic Processes and Functional Analysis

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Publisher : American Mathematical Society
ISBN 13 : 1470459825
Total Pages : 248 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Stochastic Processes and Functional Analysis by : Randall J. Swift

Download or read book Stochastic Processes and Functional Analysis written by Randall J. Swift and published by American Mathematical Society. This book was released on 2021-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Celebrating M. M. Rao's Many Mathematical Contributions as he Turns 90 Years Old, held from November 9–10, 2019, at the University of California, Riverside, California. The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes and their applications. The volume also includes a biography of M. M. Rao and the list of his publications.