Coadjoint Orbits For Double Loop Groups

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Coadjoint Orbits For Double Loop Groups

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Author : Othmar Stehlik
language : en
Publisher:
Release Date : 2004

Coadjoint Orbits For Double Loop Groups written by Othmar Stehlik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Lie groups categories.

The Geometry Of Infinite Dimensional Groups

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Author : Boris Khesin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-28

The Geometry Of Infinite Dimensional Groups written by Boris Khesin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-28 with Mathematics categories.

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.

Coadjoint Orbits And Conformal Field Theory

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Author : Washington Taylor
language : en
Publisher:
Release Date : 1993

Coadjoint Orbits And Conformal Field Theory written by Washington Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Loop Groups Discrete Versions Of Some Classical Integrable Systems And Rank 2 Extensions

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Author : Percy Deift
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Loop Groups Discrete Versions Of Some Classical Integrable Systems And Rank 2 Extensions written by Percy Deift 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 1992 with Mathematics categories.

The authors show how to interpret recent results of Moser and Veselov on discrete versions of a class of classical integrable systems, in terms of a loop group framework. In this framework the discrete systems appear as time-one maps of integrable Hamiltonian flows. Earlier results of Moser on isospectral deformations of rank 2 extensions of a fixed matrix, can also be incorporated into their scheme.

Perspectives In Representation Theory

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Author : Pavel Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-11

Perspectives In Representation Theory written by Pavel Etingof 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 2014-03-11 with Mathematics categories.

This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.

Gauge Theory And Symplectic Geometry

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Author : Jacques Hurtubise
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Gauge Theory And Symplectic Geometry written by Jacques Hurtubise and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.

Convexity Properties Of Hamiltonian Group Actions

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Author : Victor Guillemin
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Convexity Properties Of Hamiltonian Group Actions written by Victor Guillemin 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.

This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundamental result in this subject is the Kirwan convexity theorem, which describes the image of a moment map in terms of linear inequalities. This theorem bears a close relationship to perplexing old puzzles from linear algebra, such as the Horn problem on sums of Hermitian matrices, on which considerable progress has been made in recent years following a breakthrough by Klyachko. The book presents a simple local model for the moment polytope, valid in the "generic" case, and an elementary Morse-theoretic argument deriving the Klyachko inequalities and some of their generalizations. It reviews various infinite-dimensional manifestations of moment convexity, such as the Kostant type theorems for orbits of a loop group (due to Atiyah and Pressley) or a symplectomorphism group (due to Bloch, Flaschka and Ratiu). Finally, it gives an account of a new convexity theorem for moment map images of orbits of a Borel su This volume is recommended for independent study and is suitable for graduate students and researchers interested in symplectic geometry, algebraic geometry, and geometric combinatorics. Information for our distributors: Titles in this series are co-published with the Centre de Recherches Mathematiques.

Langlands Correspondence For Loop Groups

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Author : Edward Frenkel
language : en
Publisher: Cambridge University Press
Release Date : 2007-06-28

Langlands Correspondence For Loop Groups written by Edward Frenkel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-28 with Mathematics categories.

The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.

The Mathematical Heritage Of Hermann Weyl

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Author : Raymond O'Neil Wells
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

The Mathematical Heritage Of Hermann Weyl written by Raymond O'Neil Wells 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 1988 with Mathematics categories.

Hermann Weyl was one of the most influential mathematicians of the twentieth century. Viewing mathematics as an organic whole rather than a collection of separate subjects, Weyl made profound contributions to a wide range of areas, including analysis, geometry, number theory, Lie groups, and mathematical physics, as well as the philosophy of science and of mathematics. The topics he chose to study, the lines of thought he initiated, and his general perspective on mathematics have proved remarkably fruitful and have formed the basis for some of the best of modern mathematical research. This volume contains the proceedings of the AMS Symposium on the Mathematical Heritage of Hermann Weyl, held in May 1987 at Duke University. In addition to honoring Weyl's great accomplishments in mathematics, the symposium also sought to stimulate the younger generation of mathematicians by highlighting the cohesive nature of modern mathematics as seen from Weyl's ideas. The symposium assembled a brilliant array of speakers and covered a wide range of topics. All of the papers are expository and will appeal to a broad audience of mathematicians, theoretical physicists, and other scientists.

Torus Actions On Symplectic Manifolds

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Author : Michèle Audin
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Torus Actions On Symplectic Manifolds written by Michèle Audin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.