Tata Lectures On Theta Ii

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Tata Lectures on Theta II

Author : David Mumford
Publisher : Springer Science & Business Media
ISBN 13 : 0817645780
Total Pages : 285 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Tata Lectures on Theta II by : David Mumford

Download or read book Tata Lectures on Theta II written by David Mumford and published by Springer Science & Business Media. This book was released on 2012-04-15 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second in a series of three volumes that survey the theory of theta functions, this volume emphasizes the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics. It presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a self-contained introduction to the theory of the Jacobians. It also ties together nineteenth-century discoveries due to Jacobi, Neumann, and Frobenius with recent discoveries of Gelfand, McKean, Moser, John Fay, and others.

Tata Lectures on Theta III

Author : David Mumford
Publisher : Springer Science & Business Media
ISBN 13 : 0817645799
Total Pages : 210 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Tata Lectures on Theta III by : David Mumford

Download or read book Tata Lectures on Theta III written by David Mumford and published by Springer Science & Business Media. This book was released on 2010-10-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the third of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).

Tata Lectures on Theta I

Author : David Mumford
Publisher : Springer Science & Business Media
ISBN 13 : 0817645772
Total Pages : 248 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Tata Lectures on Theta I by : David Mumford

Download or read book Tata Lectures on Theta I written by David Mumford and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).

Tata Lectures on Theta I

Author : David Mumford
Publisher : Springer Science & Business Media
ISBN 13 : 9780817631093
Total Pages : 266 pages
Book Rating : 4.6/5 (31 download)

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Book Synopsis Tata Lectures on Theta I by : David Mumford

Download or read book Tata Lectures on Theta I written by David Mumford and published by Springer Science & Business Media. This book was released on 1983-01-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of a series of three volumes surveying the theory of theta functions and its significance in the fields of representation theory and algebraic geometry, this volume deals with the basic theory of theta functions in one and several variables, and some of its number theoretic applications. Requiring no background in advanced algebraic geometry, the text serves as a modern introduction to the subject.

Jacobian Theta Functions and Differential Equations

Author :
Publisher :
ISBN 13 : 9783764331108
Total Pages : 272 pages
Book Rating : 4.3/5 (311 download)

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Book Synopsis Jacobian Theta Functions and Differential Equations by :

Download or read book Jacobian Theta Functions and Differential Equations written by and published by . This book was released on 1984 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tata Lectures on Theta II ...

Author : Mumford
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (249 download)

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Book Synopsis Tata Lectures on Theta II ... by : Mumford

Download or read book Tata Lectures on Theta II ... written by Mumford and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abelian Varieties, Theta Functions and the Fourier Transform

Author : Alexander Polishchuk
Publisher : Cambridge University Press
ISBN 13 : 0521808049
Total Pages : 308 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Abelian Varieties, Theta Functions and the Fourier Transform by : Alexander Polishchuk

Download or read book Abelian Varieties, Theta Functions and the Fourier Transform written by Alexander Polishchuk and published by Cambridge University Press. This book was released on 2003-04-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.

Pattern Theory

Author : David Mumford
Publisher : CRC Press
ISBN 13 : 1439865566
Total Pages : 422 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Pattern Theory by : David Mumford

Download or read book Pattern Theory written by David Mumford and published by CRC Press. This book was released on 2010-08-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pattern theory is a distinctive approach to the analysis of all forms of real-world signals. At its core is the design of a large variety of probabilistic models whose samples reproduce the look and feel of the real signals, their patterns, and their variability. Bayesian statistical inference then allows you to apply these models in the analysis o

Lectures on Gaussian Integral Operators and Classical Groups

Author : Yu. A. Neretin
Publisher : European Mathematical Society
ISBN 13 : 9783037190807
Total Pages : 576 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Lectures on Gaussian Integral Operators and Classical Groups by : Yu. A. Neretin

Download or read book Lectures on Gaussian Integral Operators and Classical Groups written by Yu. A. Neretin and published by European Mathematical Society. This book was released on 2011 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis. Topics covered include the theory of various Fourier-like integral operators such as Segal-Bargmann transforms, Gaussian integral operators in $L^2$ and in the Fock space, integral operators with theta-kernels, the geometry of real and $p$-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, $p$-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables. This book is addressed to graduate students and researchers in representation theory, differential geometry, and operator theory. Prerequisites are standard university courses in linear algebra, functional analysis, and complex analysis.

Topics in Algebraic and Noncommutative Geometry

Author : Ruth Ingrid Michler
Publisher : American Mathematical Soc.
ISBN 13 : 0821832093
Total Pages : 254 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topics in Algebraic and Noncommutative Geometry by : Ruth Ingrid Michler

Download or read book Topics in Algebraic and Noncommutative Geometry written by Ruth Ingrid Michler and published by American Mathematical Soc.. This book was released on 2003 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of two conferences, Resolution des singularites et geometrie non commutative and the Annapolis algebraic geometry conference. Research articles in the volume cover various topics of algebraic geometry, including the theory of Jacobians, singularities, applications to cryptography, and more. The book is suitable for graduate students and research mathematicians interested in algebraic geometry.

Advances in Cryptology - ASIACRYPT'99

Author : Kwok Yan Lam
Publisher : Springer
ISBN 13 : 3540480005
Total Pages : 426 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advances in Cryptology - ASIACRYPT'99 by : Kwok Yan Lam

Download or read book Advances in Cryptology - ASIACRYPT'99 written by Kwok Yan Lam and published by Springer. This book was released on 2004-03-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asiacrypt’99 was held in Singapore on 14-18 November 1999. Asiacrypt is one of the major events in the cryptology research community. Asiacrypt’99, the ?fth annual Asiacrypt conference, was sponsored by the Asiacrypt Steering Comm- tee and the Centre for Systems Security of the National University of Singapore, and in cooperation with the International Association for Cryptology Research. As the Program Co-Chairs of Asiacrypt’99, we are extremely honored to or- nize this event, which showcases the state-of-the-art development of cryptology research at the conclusion of this millennium. This year, a total of 96 research papers were submitted to Asiacrypt’99. The portfolio of country of origin of submissions serves as a good indicator of the - ternational reputation of the conference. Countries from which submissions or- inated include: Australia, Belgium, China, Estonia, France, Germany, Greece, India, Iran, Japan, Korea, Norway, Russia, Saudi Arabia, Switzerland, Sin- pore, Spain, Taiwan, Thailand, The Netherlands, Turkey, Ukraine, UK, USA and Yugoslavia. Through a stringent refereeing process by the Program C- mittee, 31 papers of outstanding quality were accepted and are included in the conference proceedings. Accepted papers were authored by researchers from the following countries: Australia, Belgium, France, Germany, India, Japan, China, Singapore, Switzerland, Taiwan, The Netherlands, UK, and USA.

A Course of Modern Analysis

Author : E. T. Whittaker
Publisher : Cambridge University Press
ISBN 13 : 1009008595
Total Pages : 722 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis A Course of Modern Analysis by : E. T. Whittaker

Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 2021-08-26 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.

Ball and Surface Arithmetics

Author : Rolf-Peter Holzapfel
Publisher : Springer Science & Business Media
ISBN 13 : 3322901696
Total Pages : 428 pages
Book Rating : 4.3/5 (229 download)

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Book Synopsis Ball and Surface Arithmetics by : Rolf-Peter Holzapfel

Download or read book Ball and Surface Arithmetics written by Rolf-Peter Holzapfel and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bei höherdimensionalen komplexen Mannigfaltigkeiten stellt die Riemann-Roch-Theorie die grundlegende Verbindung von analytischen bzw. algebraischen zu topologischen Eigenschaften her. Dieses Buch befaßt sich mit Mannigfaltigkeiten der komplexen Dimension 2, d. h. mit komplexen Flächen. Hauptziel der Monographie ist es, neue rationale diskrete Invarianten (Höhen) in die Theorie komplexer Flächen explizit einzuführen und ihre Anwendbarkeit auf konkrete aktuelle Probleme darzustellen.Als erste unmittelbare Anwendung erhält man explizit und ganz allgemein Formeln vom Hurwitz-Typ endlicher Flächenüberlagerungen für die vier klassischen Invarianten, die auf andere Weise bisher nur in Spezialfällen zugänglich waren. Ein weiteres Anwendungsgebiet ist die Theorie der Picardschen Modulflächen: Neue Resultate werden beschrieben. Letztendlich kann im letzten Kapitel eine Ergänzung des bekannten Satzes von Bogomolov-Miyaoka-Yau mit Hilfe der Höhentheorie gezeigt werden. The monograph presents basically an arithmetic theory of orbital surfaces with cusp singularities. As main invariants orbital hights are introduced, not only for the surfaces but also for the components of orbital cycles. These invariants are rational numbers with nice functorial properties allowing precise formulas of Hurwitz type and a fine intersection theory for orbital cycles. For ball quotient surfaces they appear as volumes of fundamental domains. In the special case of Picard modular surfaces they are discovered by special value of Dirichlet L-series or higher Bernoulli numbers. As a central point of the monograph a general Proportionality Theorem in terms of orbital hights is proved. It yields a strong criterion to decide effectively whether a surface with given cycle supports a ball quotient structure being Kaehler-Einstein with negative constant holomorphic sectional curvature outside of this cycle. The theory is applied to the classification of Picard modular surfaces and to surfaces geography.

Algebraic Geometry and Singularities

Author : Antonio Campillo Lopez
Publisher : Birkhäuser
ISBN 13 : 3034890206
Total Pages : 418 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Algebraic Geometry and Singularities by : Antonio Campillo Lopez

Download or read book Algebraic Geometry and Singularities written by Antonio Campillo Lopez and published by Birkhäuser. This book was released on 2012-12-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this volume lies on singularity theory in algebraic geometry. It includes papers documenting recent and original developments and methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The papers originate from the Third International Conference on Algebraic Geometry held in La Rbida, Spain, in December 1991. Since then, the articles have undergone a meticulous process of refereeing and improvement, and they have been organized into a comprehensive account of the state of the art in this field.

Algorithms In Algebraic Geometry And Applications

Author : Laureano Gonzalez-Vega
Publisher : Springer Science & Business Media
ISBN 13 : 9783764352745
Total Pages : 430 pages
Book Rating : 4.3/5 (527 download)

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Book Synopsis Algorithms In Algebraic Geometry And Applications by : Laureano Gonzalez-Vega

Download or read book Algorithms In Algebraic Geometry And Applications written by Laureano Gonzalez-Vega and published by Springer Science & Business Media. This book was released on 1996-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume arises from the contributions presented at the MEGA 94 Con ference (Metodos Efectivos en Geomctria Algebraica = Effective Methods in Algebraic Geometry), held at the University of Cantabria (Santander, Spain) April 59, 1994. Previous sessions of this biannual conference had taken place in Castiglioncello (Livorno, Italy, 1990) and in Nice (France, 1992) and the cor responding proceedings have been published in the Birkhauser series Progress in Mathematics. volumes no. 94 and 109, respectively. The present collection consists of twenty articles involvillg miscellaneous topics concerning algorithms in algebra, algebraic geometry and related appli cations. Fourteen of these papers correspond to the contents of the Conference's regular scientific program and have been selected, by the MEGA Committee, from the submitted contributions after a very rigorous refereeing procedure entailing an average of three independent reports per paper and two Program Committee panel discussions before and after the Conference. The remaining six papers (by S. Beck & M. Kreuzer, M. Bronstein, E. V. Flvnn. 1. Itenberg, J.-P. Merlet and 1\1. Seppala) correspond to invited talks and have also been subject to a post-conference refereeing procedure.

C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians

Author : Werner Amrein
Publisher : Springer Science & Business Media
ISBN 13 : 3034877625
Total Pages : 473 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians by : Werner Amrein

Download or read book C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians written by Werner Amrein and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relevance of commutator methods in spectral and scattering theory has been known for a long time, and numerous interesting results have been ob tained by such methods. The reader may find a description and references in the books by Putnam [Pu], Reed-Simon [RS] and Baumgartel-Wollenberg [BW] for example. A new point of view emerged around 1979 with the work of E. Mourre in which the method of locally conjugate operators was introduced. His idea proved to be remarkably fruitful in establishing detailed spectral properties of N-body Hamiltonians. A problem that was considered extremely difficult be fore that time, the proof of the absence of a singularly continuous spectrum for such operators, was then solved in a rather straightforward manner (by E. Mourre himself for N = 3 and by P. Perry, 1. Sigal and B. Simon for general N). The Mourre estimate, which is the main input of the method, also has consequences concerning the behaviour of N-body systems at large times. A deeper study of such propagation properties allowed 1. Sigal and A. Soffer in 1985 to prove existence and completeness of wave operators for N-body systems with short range interactions without implicit conditions on the potentials (for N = 3, similar results were obtained before by means of purely time-dependent methods by V. Enss and by K. Sinha, M. Krishna and P. Muthuramalingam). Our interest in commutator methods was raised by the major achievements mentioned above.

Infinite-Dimensional Lie Algebras

Author : Victor G. Kac
Publisher : Cambridge University Press
ISBN 13 : 9780521466936
Total Pages : 428 pages
Book Rating : 4.4/5 (669 download)

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Book Synopsis Infinite-Dimensional Lie Algebras by : Victor G. Kac

Download or read book Infinite-Dimensional Lie Algebras written by Victor G. Kac and published by Cambridge University Press. This book was released on 1990 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.