Algebraic Integrability Painlev Geometry And Lie Algebras

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This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.

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Genre : Mathematics
Author : Mark Adler
Publisher : Springer Science & Business Media
Release : 2013-03-14
File : 487 Pages
ISBN-13 : 9783662056509


Integrable Systems And Algebraic Geometry

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A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

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Genre : Mathematics
Author : Ron Donagi
Publisher : Cambridge University Press
Release : 2020-04-02
File : 421 Pages
ISBN-13 : 9781108715744


Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices

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This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates

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Genre : Mathematics
Author : Anton Dzhamay
Publisher : American Mathematical Soc.
Release : 2013-06-26
File : 363 Pages
ISBN-13 : 9780821887479


Topology Geometry Integrable Systems And Mathematical Physics

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Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012-2014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

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Genre : Mathematics
Author : V. M. Buchstaber
Publisher : American Mathematical Soc.
Release : 2014-11-18
File : 408 Pages
ISBN-13 : 9781470418717


Contemporary Issues In Mathematics Education

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This volume presents a serious discussion of educational issues, with representations of opposing ideas.

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Genre : Education
Author : Estela A. Gavosto
Publisher : Cambridge University Press
Release : 1999-06-13
File : 196 Pages
ISBN-13 : 0521654718


Current Topics In Complex Algebraic Geometry

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The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to complex algebraic geometry. This volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. The editors of the volume, Herbert Clemens and János Kollár, chaired the organizing committee. This book gives a good idea of the intellectual content of the special year and of the workshops. Its articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years.

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Genre : Mathematics
Author : Charles Herbert Clemens
Publisher : Cambridge University Press
Release : 1995
File : 180 Pages
ISBN-13 : 0521562449


Geometry And Integrability

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Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.

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Genre : Mathematics
Author : Lionel Mason
Publisher : Cambridge University Press
Release : 2003-11-20
File : 170 Pages
ISBN-13 : 0521529999


Comparison Geometry

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This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.

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Genre : Mathematics
Author : Karsten Grove
Publisher : Cambridge University Press
Release : 1997-05-13
File : 280 Pages
ISBN-13 : 0521592224


The Geometry Topology And Physics Of Moduli Spaces Of Higgs Bundles

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In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.

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Genre : Mathematics
Author : Richard Wentworth
Publisher : World Scientific
Release : 2018-06-28
File : 412 Pages
ISBN-13 : 9789813229105


New Perspectives In Algebraic Combinatorics

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This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.

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Genre : Mathematics
Author : Louis J. Billera
Publisher : Cambridge University Press
Release : 1999-09-28
File : 360 Pages
ISBN-13 : 0521770874