Holomorphic Mappings Between Hermitian Symmetric Spaces

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Locally Mixed Symmetric Spaces

Author : Bruce Hunt
Publisher : Springer Nature
ISBN 13 : 3030698041
Total Pages : 622 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Locally Mixed Symmetric Spaces by : Bruce Hunt

Download or read book Locally Mixed Symmetric Spaces written by Bruce Hunt and published by Springer Nature. This book was released on 2021-09-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology. Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry. Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.

Foliation Theory in Algebraic Geometry

Author : Paolo Cascini
Publisher : Springer
ISBN 13 : 3319244604
Total Pages : 223 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Foliation Theory in Algebraic Geometry by : Paolo Cascini

Download or read book Foliation Theory in Algebraic Geometry written by Paolo Cascini and published by Springer. This book was released on 2016-03-30 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study./div

Geometric Function Theory in Several Complex Variables

Author : Carl H. FitzGerald
Publisher : World Scientific
ISBN 13 : 9789812702500
Total Pages : 360 pages
Book Rating : 4.7/5 (25 download)

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Book Synopsis Geometric Function Theory in Several Complex Variables by : Carl H. FitzGerald

Download or read book Geometric Function Theory in Several Complex Variables written by Carl H. FitzGerald and published by World Scientific. This book was released on 2004 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Twistor Theory for Riemannian Symmetric Spaces

Author : Francis E. Burstall
Publisher : Springer
ISBN 13 : 3540470522
Total Pages : 120 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Twistor Theory for Riemannian Symmetric Spaces by : Francis E. Burstall

Download or read book Twistor Theory for Riemannian Symmetric Spaces written by Francis E. Burstall and published by Springer. This book was released on 2006-11-14 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds.

Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002

Download Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 PDF Online Free

Author : Sheng Gong
Publisher : World Scientific
ISBN 13 : 9814481912
Total Pages : 353 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 by : Sheng Gong

Download or read book Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 written by Sheng Gong and published by World Scientific. This book was released on 2004-09-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Harmonic Mappings, Twistors And Sigma Models

Author : Paul Gauduchon
Publisher : World Scientific
ISBN 13 : 9813201487
Total Pages : 390 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Harmonic Mappings, Twistors And Sigma Models by : Paul Gauduchon

Download or read book Harmonic Mappings, Twistors And Sigma Models written by Paul Gauduchon and published by World Scientific. This book was released on 1988-10-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models. These Proceedings develop both aspects of the theory, with a special attention to the constructive methods, in particular the so-called twistorial approach. It includes expository articles on the twistorial methods, the various appearence of σ-models in Physics, the powerful analytic theory of regularity of SCHOEN-UHLENBECK.

From Quantum Cohomology to Integrable Systems

Author : Martin A. Guest
Publisher : Oxford University Press, USA
ISBN 13 : 0198565992
Total Pages : 336 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis From Quantum Cohomology to Integrable Systems by : Martin A. Guest

Download or read book From Quantum Cohomology to Integrable Systems written by Martin A. Guest and published by Oxford University Press, USA. This book was released on 2008-03-13 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas of traditional mathematics and new areas such as mirror symmetry. Aimed at graduate students in mathematics as well as theoretical physicists, the text assumes basic familiarity with differential equations and cohomology.

New Developments in Lie Theory and Their Applications

Author : Juan Tirao
Publisher : Springer Science & Business Media
ISBN 13 : 1461229782
Total Pages : 232 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis New Developments in Lie Theory and Their Applications by : Juan Tirao

Download or read book New Developments in Lie Theory and Their Applications written by Juan Tirao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation theory, and more generally Lie theory, has played a very important role in many of the recent developments of mathematics and in the interaction of mathematics with physics. In August-September 1989, a workshop (Third Workshop on Representation Theory of Lie Groups and its Applications) was held in the environs of C6rdoba, Argentina to present expositions of important recent developments in the field that would be accessible to graduate students and researchers in related fields. This volume contains articles that are edited versions of the lectures (and short courses) given at the workshop. Within representation theory, one of the main open problems is to determine the unitary dual of a real reductive group. Although this prob lem is as yet unsolved, the recent work of Barbasch, Vogan, Arthur as well as others has shed new light on the structure of the problem. The article of D. Vogan presents an exposition of some aspects of this prob lem, emphasizing an extension of the orbit method of Kostant, Kirillov. Several examples are given that explain why the orbit method should be extended and how this extension should be implemented.

Prospects in Complex Geometry

Author : Junjiro Noguchi
Publisher : Springer
ISBN 13 : 354047370X
Total Pages : 431 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Prospects in Complex Geometry by : Junjiro Noguchi

Download or read book Prospects in Complex Geometry written by Junjiro Noguchi and published by Springer. This book was released on 2006-11-14 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Teichmüller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of "Complex Structure" was a timely choice for the joint meetings in Katata and Kyoto in 1989. The invited participants exchanged ideas on different approaches to related topics in complex geometry and mapped out the prospects for the next few years of research.

Submanifolds and Holonomy

Author : Jurgen Berndt
Publisher : CRC Press
ISBN 13 : 1135439974
Total Pages : 351 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Submanifolds and Holonomy by : Jurgen Berndt

Download or read book Submanifolds and Holonomy written by Jurgen Berndt and published by CRC Press. This book was released on 2003-04-28 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: With special emphasis on new techniques based on the holonomy of the normal connection, this book provides a modern, self-contained introduction to submanifold geometry. It offers a thorough survey of these techniques and their applications and presents a framework for various recent results to date found only in scattered research papers. The treatment introduces all the basics of the subject, and along with some classical results and hard-to-find proofs, presents new proofs of several recent results. Appendices furnish the necessary background material, exercises give readers practice in using the techniques, and discussion of open problems stimulates readers' interest in the field.

Harmonic Maps and Differential Geometry

Author : Eric Loubeau
Publisher : American Mathematical Soc.
ISBN 13 : 0821849875
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Maps and Differential Geometry by : Eric Loubeau

Download or read book Harmonic Maps and Differential Geometry written by Eric Loubeau and published by American Mathematical Soc.. This book was released on 2011 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.

Lie Groups

Author : Daniel Bump
Publisher : Springer Science & Business Media
ISBN 13 : 1475740948
Total Pages : 462 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Lie Groups by : Daniel Bump

Download or read book Lie Groups written by Daniel Bump and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and offers a carefully chosen range of material designed to give readers the bigger picture. It explores compact Lie groups through a number of proofs and culminates in a "topics" section that takes the Frobenius-Schur duality between the representation theory of the symmetric group and the unitary groups as unifying them.

Causal Symmetric Spaces

Author : Gestur Olafsson
Publisher : Academic Press
ISBN 13 : 0080528724
Total Pages : 303 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Causal Symmetric Spaces by : Gestur Olafsson

Download or read book Causal Symmetric Spaces written by Gestur Olafsson and published by Academic Press. This book was released on 1996-09-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spacesDeals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fieldsPresents basic geometric properties of semi-simple symmetric spacesIncludes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces

Developments and Retrospectives in Lie Theory

Author : Geoffrey Mason
Publisher : Springer
ISBN 13 : 3319099345
Total Pages : 274 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Developments and Retrospectives in Lie Theory by : Geoffrey Mason

Download or read book Developments and Retrospectives in Lie Theory written by Geoffrey Mason and published by Springer. This book was released on 2014-11-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.

Riemannian Geometry and Geometric Analysis

Author : Jürgen Jost
Publisher : Springer
ISBN 13 : 3319618601
Total Pages : 702 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Riemannian Geometry and Geometric Analysis by : Jürgen Jost

Download or read book Riemannian Geometry and Geometric Analysis written by Jürgen Jost and published by Springer. This book was released on 2017-10-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature. From the reviews:“This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.” Mathematical Reviews “For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.” Monatshefte für Mathematik

Two Reports On Harmonic Maps

Author : James Eells
Publisher : World Scientific
ISBN 13 : 9814502928
Total Pages : 229 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Two Reports On Harmonic Maps by : James Eells

Download or read book Two Reports On Harmonic Maps written by James Eells and published by World Scientific. This book was released on 1995-03-29 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, σ-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and Kählerian manifolds.A standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire.This book presents these two reports in a single volume with a brief supplement reporting on some recent developments in the theory. It is both an introduction to the subject and a unique source of references, providing an organized exposition of results spread throughout more than 800 papers.

Proceedings of the International Conference on Complex Geometry and Related Fields

Author : Zhijie Chen
Publisher : American Mathematical Soc.
ISBN 13 : 0821839497
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Proceedings of the International Conference on Complex Geometry and Related Fields by : Zhijie Chen

Download or read book Proceedings of the International Conference on Complex Geometry and Related Fields written by Zhijie Chen and published by American Mathematical Soc.. This book was released on 2007 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In commemoration and celebration of the tenth anniversary of the Institute of Mathematics at East China Normal University, an International Conference on complex geometry and related fields recently convened. This collection presents some of the conference highlights, dealing with various and significant topics of differential and algebraic geometry, while exploring their connections to number theory and mathematical physics. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.