A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds

A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds
Title A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds PDF eBook
Author Yohann Le Floch
Publisher Springer
Pages 142
Release 2018-09-19
Genre Mathematics
ISBN 331994682X

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This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.

A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds

A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds
Title A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds PDF eBook
Author Yohann Le Floch
Publisher
Pages 140
Release 2018
Genre Kählerian manifolds
ISBN 9783319946832

Download A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds Book in PDF, Epub and Kindle

This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.--

Toeplitz Operators on Kähler Manifolds

Toeplitz Operators on Kähler Manifolds
Title Toeplitz Operators on Kähler Manifolds PDF eBook
Author Tatyana Barron
Publisher Springer
Pages 89
Release 2018-07-24
Genre Mathematics
ISBN 3319942921

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The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators on Kähler manifolds, via examples, worked out carefully and in detail. Necessary background is included. Several theorems on asymptotics of Toeplitz operators are reviewed and illustrated by examples, including the case of tori and the 2-dimensional sphere. Applications in the context of multisymplectic and hyperkähler geometry are discussed. The book is suitable for graduate students, advanced undergraduate students, and any researchers.

Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference

Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference
Title Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference PDF eBook
Author Sandro Graffi
Publisher World Scientific
Pages 299
Release 2001-04-02
Genre Science
ISBN 9814491535

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This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.

Long Time Behaviour of Classical and Quantum Systems

Long Time Behaviour of Classical and Quantum Systems
Title Long Time Behaviour of Classical and Quantum Systems PDF eBook
Author Sandro Graffi
Publisher World Scientific
Pages 299
Release 2001
Genre Mathematics
ISBN 9810245556

Download Long Time Behaviour of Classical and Quantum Systems Book in PDF, Epub and Kindle

This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.

Recent Advances in Algebraic Geometry

Recent Advances in Algebraic Geometry
Title Recent Advances in Algebraic Geometry PDF eBook
Author Christopher D. Hacon
Publisher Cambridge University Press
Pages 451
Release 2015-01-15
Genre Mathematics
ISBN 131619583X

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Contemporary research in algebraic geometry is the focus of this collection, which presents articles on modern aspects of the subject. The list of topics covered is a roll-call of some of the most important and active themes in this thriving area of mathematics: the reader will find articles on birational geometry, vanishing theorems, complex geometry and Hodge theory, free resolutions and syzygies, derived categories, invariant theory, moduli spaces, and related topics, all written by leading experts. The articles, which have an expository flavour, present an overall picture of current research in algebraic geometry, making this book essential for researchers and graduate students. This volume is the outcome of the conference Recent Advances in Algebraic Geometry, held in Ann Arbor, Michigan, to honour Rob Lazarsfeld's many contributions to the subject on the occasion of his 60th birthday.

Singular Integral Operators, Factorization and Applications

Singular Integral Operators, Factorization and Applications
Title Singular Integral Operators, Factorization and Applications PDF eBook
Author Albrecht Böttcher
Publisher Birkhäuser
Pages 393
Release 2012-12-06
Genre Mathematics
ISBN 3034880073

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This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Topics. A total of 94 colleagues from 21 countries participated in the conference. The major part of participants came from Portugal (32), Germany (17), Israel (6), Mexico (6), the Netherlands (5), USA (4) and Austria (4). The others were from Ukraine, Venezuela (3 each), Spain, Sweden (2 each), Algeria, Australia, Belorussia, France, Georgia, Italy, Japan, Kuwait, Russia and Turkey (one of each country). It was the 12th meeting in the framework of the IWOTA conferences which started in 1981 on an initiative of Professors 1. Gohberg (Tel Aviv) and J. W. Helton (San Diego). Up to now, it was the largest conference in the field of Operator Theory in Portugal.