Mathematical Sciences Research Institute (Berkeley, Calif.)
Overview
Works:  658 works in 754 publications in 1 language and 5,156 library holdings 

Genres:  Conference papers and proceedings Educational films Handbooks and manuals Filmed lectures Drama Textbooks Nonfiction films Interviews 
Roles:  Editor, Publisher, Researcher, Other 
Classifications:  QA247, 512.815 
Publication Timeline
.
Most widely held works about
Mathematical Sciences Research Institute (Berkeley, Calif.)
 Mathematics at Berkeley : a history by C. C Moore( Book )
 Little Grizzly Peak precinct : Mathematical Sciences Research Institute : site study by Margaret K Rifkin( Book )
 The mathematics of change : a comic monologue by Josh Kornbluth( Visual )
 Eight perspectives : an evaluation of the design build competition for the Mathematical Sciences Research Institute by Randolph T Hester( Book )
 Initial study environmental assessment : Mathematical Sciences Research Institute by Berkeley University of California( Book )
 The Emissary by Calif.) Mathematical Sciences Research Institute (Berkeley( )
 Views of the Mathematical Sciences Research Institute, University of California, Berkeley( Visual )
 Mathematical Sciences Research Institute Expansion Project and 1990 long range development plan amendment : tiered initial study checklist : proposed negative declaration( Book )
more
fewer
Most widely held works by
Mathematical Sciences Research Institute (Berkeley, Calif.)
Games of no chance : combinatorial games at MSRI, 1994 by
Richard J Nowakowski(
Book
)
7 editions published between 1996 and 2007 in English and held by 375 WorldCat member libraries worldwide
Combinatorial games are finite, twoperson, fullinformation games such as chess, checkers, go, domineering, dotsandboxes, nim, and many others. This volume, arising from a workshop held at MSRI in July 1994, represents a significant addition to the literature of combinatorial games
7 editions published between 1996 and 2007 in English and held by 375 WorldCat member libraries worldwide
Combinatorial games are finite, twoperson, fullinformation games such as chess, checkers, go, domineering, dotsandboxes, nim, and many others. This volume, arising from a workshop held at MSRI in July 1994, represents a significant addition to the literature of combinatorial games
Infinite dimensional groups with applications by
Victor G Kac(
Book
)
2 editions published in 1985 in English and held by 311 WorldCat member libraries worldwide
This volume records most of the talks given at the Conference on Infinitedimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10May 15, 1984, as a part of the special program on KacMoody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinitedimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general KacMoody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to SpringerVerlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On LandauLifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D.S. Freed 83 Dimensional Kahler Geometry PositiveEnergy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M.A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V.G. Kac 167 InfiniteDimensional Lie Algebras I. Kaplansky 217 HarishChandra Modules Over the Virasoro Algebra & L.J. Santharoubane 233 Rational Homotopy Theory of Flag S
2 editions published in 1985 in English and held by 311 WorldCat member libraries worldwide
This volume records most of the talks given at the Conference on Infinitedimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10May 15, 1984, as a part of the special program on KacMoody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinitedimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general KacMoody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to SpringerVerlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On LandauLifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D.S. Freed 83 Dimensional Kahler Geometry PositiveEnergy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M.A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V.G. Kac 167 InfiniteDimensional Lie Algebras I. Kaplansky 217 HarishChandra Modules Over the Virasoro Algebra & L.J. Santharoubane 233 Rational Homotopy Theory of Flag S
Vertex operators in mathematics and physics : proceedings of a conference, November 1017, 1983 by
J Lepowsky(
Book
)
5 editions published in 1985 in English and held by 264 WorldCat member libraries worldwide
James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry  Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dualstring theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, GoddardOlive, LepowskyWilson and FrenkelLepowskyMeurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 8301664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction
5 editions published in 1985 in English and held by 264 WorldCat member libraries worldwide
James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry  Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dualstring theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, GoddardOlive, LepowskyWilson and FrenkelLepowskyMeurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 8301664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction
Galois groups over Q : proceedings of a workshop held March 2327, 1987 by
Y Ihara(
Book
)
5 editions published in 1989 in English and held by 262 WorldCat member libraries worldwide
This volume is being published in connection with a March, 1987 workshop on Galois groups over Q and related topics, held at the Mathematical Sciences Research Institute in Berkeley. The organizing committee for the workshop consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and JeanPierre Serre. The volume contains key original papers by experts in the field, and treats a variety of questions in arithmetical algebraic geometry. A number of the contributions discuss Galois actions on fundamental groups, and associated topics: these include Fermat curves, Gauss sums, cyclotomic units, and motivic questions. Other themes which reoccur include semistable reduction of algebraic varieties, deformations of Galois representations, and connections between Galois representations and modular forms. The authors contributing to the volume are: G.W. Anderson, D. Blasius, D. Ramakrishnan, P. Deligne, Y. Ihara, U. Jannsen, B.H. Matzat, B. Maszur, and K. Wingberg. The contributions are of exceptionally high quality, and this book will have permanent value. The volume will be of great interest to students and established workers in many areas of algebraic number theory and algebraic geometry
5 editions published in 1989 in English and held by 262 WorldCat member libraries worldwide
This volume is being published in connection with a March, 1987 workshop on Galois groups over Q and related topics, held at the Mathematical Sciences Research Institute in Berkeley. The organizing committee for the workshop consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and JeanPierre Serre. The volume contains key original papers by experts in the field, and treats a variety of questions in arithmetical algebraic geometry. A number of the contributions discuss Galois actions on fundamental groups, and associated topics: these include Fermat curves, Gauss sums, cyclotomic units, and motivic questions. Other themes which reoccur include semistable reduction of algebraic varieties, deformations of Galois representations, and connections between Galois representations and modular forms. The authors contributing to the volume are: G.W. Anderson, D. Blasius, D. Ramakrishnan, P. Deligne, Y. Ihara, U. Jannsen, B.H. Matzat, B. Maszur, and K. Wingberg. The contributions are of exceptionally high quality, and this book will have permanent value. The volume will be of great interest to students and established workers in many areas of algebraic number theory and algebraic geometry
Group representations, ergodic theory, operator algebras, and mathematical physics : proceedings of a conference in honor
of George W. Mackey by
C. C Moore(
Book
)
3 editions published in 1987 in English and held by 255 WorldCat member libraries worldwide
The Mathematical Sciences Research Institute sponsored a three day conference, May 2123, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical greatgrandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G.D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut
3 editions published in 1987 in English and held by 255 WorldCat member libraries worldwide
The Mathematical Sciences Research Institute sponsored a three day conference, May 2123, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical greatgrandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G.D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut
Wave motion : theory, modelling, and computation : proceedings of a conference in honor of the 60th birthday of Peter D. Lax by
Alexandre Joel Chorin(
Book
)
3 editions published in 1987 in English and held by 233 WorldCat member libraries worldwide
The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 912, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title
3 editions published in 1987 in English and held by 233 WorldCat member libraries worldwide
The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 912, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title
Several complex variables(
Book
)
4 editions published between 1999 and 2010 in English and held by 232 WorldCat member libraries worldwide
&Quot;Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry. The 199596 MSRI program on several complex variables emphasized these interactions and concentrated on developments and problems of current interest that capitalize on this interplay of ideas and techniques.". "Thanks to its distinguished list of contributors, this volume provides a representative sample of the best work done this decade in several complex variables."BOOK JACKET
4 editions published between 1999 and 2010 in English and held by 232 WorldCat member libraries worldwide
&Quot;Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry. The 199596 MSRI program on several complex variables emphasized these interactions and concentrated on developments and problems of current interest that capitalize on this interplay of ideas and techniques.". "Thanks to its distinguished list of contributors, this volume provides a representative sample of the best work done this decade in several complex variables."BOOK JACKET
Noncommutative rings by
I. N Herstein(
Book
)
6 editions published between 1991 and 1992 in English and held by 229 WorldCat member libraries worldwide
This beautiful book is the result of the author's wide and deep knowledge of the subject matter, combined with a gift for exposition ... The well selected material is offered in an integrated presentation of the structure theory of noncommutative (associative rings) and its applications. The book will appeal to many a reader. It would be wonderful as a textbook, and in fact, it's based on the author's lecture notes ... Only people looking for the most general form of a particular theorem are advised to turn to other books, but those interested in studying or reviewing its subject matter or looking for a rounded account of it, could do no better than choosing this book for this purpose. Bulletin of the American Mathematical Society Noncommutative Rings provides a crosssection of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem and the GolodShafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph
6 editions published between 1991 and 1992 in English and held by 229 WorldCat member libraries worldwide
This beautiful book is the result of the author's wide and deep knowledge of the subject matter, combined with a gift for exposition ... The well selected material is offered in an integrated presentation of the structure theory of noncommutative (associative rings) and its applications. The book will appeal to many a reader. It would be wonderful as a textbook, and in fact, it's based on the author's lecture notes ... Only people looking for the most general form of a particular theorem are advised to turn to other books, but those interested in studying or reviewing its subject matter or looking for a rounded account of it, could do no better than choosing this book for this purpose. Bulletin of the American Mathematical Society Noncommutative Rings provides a crosssection of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem and the GolodShafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph
Geometric analysis and computer graphics : proceedings of a workshop held May 2325, 1988 by
Paul Concus(
Book
)
5 editions published between 1990 and 1991 in English and held by 227 WorldCat member libraries worldwide
The meeting at the Mathematical Sciences Research Institute in Berkeley was structured around principal lectures given by Almgren, Callahan, Ericksen, Francis, Gulliver, Hanrahan, Kajiya, Polthier, Sethian, Sterling, Thomas, and Vogel. The divergent backgrounds of these and the many other participants, as reflected in their lectures at the meeting and in the papers presented here, testify to the unifying element of the workshop's central theme. The depth and range of the new developments presented in the lectures point to scientific and technological frontiers being crossed with impressive speed. The present volume is offered as a permanent record for those who were present, and also with a view towards making the material available to a wider audience than were able to attend
5 editions published between 1990 and 1991 in English and held by 227 WorldCat member libraries worldwide
The meeting at the Mathematical Sciences Research Institute in Berkeley was structured around principal lectures given by Almgren, Callahan, Ericksen, Francis, Gulliver, Hanrahan, Kajiya, Polthier, Sethian, Sterling, Thomas, and Vogel. The divergent backgrounds of these and the many other participants, as reflected in their lectures at the meeting and in the papers presented here, testify to the unifying element of the workshop's central theme. The depth and range of the new developments presented in the lectures point to scientific and technological frontiers being crossed with impressive speed. The present volume is offered as a permanent record for those who were present, and also with a view towards making the material available to a wider audience than were able to attend
Algorithms and classification in combinatorial group theory by
Gilbert Baumslag(
Book
)
4 editions published between 1991 and 1992 in English and held by 206 WorldCat member libraries worldwide
The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics
4 editions published between 1991 and 1992 in English and held by 206 WorldCat member libraries worldwide
The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics
Fermat's last theorem : the theorem and its proof, an exploration of issues and ideas(
Visual
)
7 editions published between 1993 and 2012 in English and held by 205 WorldCat member libraries worldwide
The videotape is based on a presentation at the Palace of Fine Arts Theater in San Francisco that took place on July 28, 1993, exactly five weeks after Andrew Wiles announced that he had a proof of Fermat's Last Theorem. The videotape also includes excerpts from an interview with Andrew Wiles made in Oxford, England, the day after he announced his proof in Cambridge. Both the booklet and the videotape are designed for a general audience. They deal not only with Fermat's Last Theorem itself, but with the excitement of mathematical discovery in general and the way mathematical ideas can illuminate other subjects
7 editions published between 1993 and 2012 in English and held by 205 WorldCat member libraries worldwide
The videotape is based on a presentation at the Palace of Fine Arts Theater in San Francisco that took place on July 28, 1993, exactly five weeks after Andrew Wiles announced that he had a proof of Fermat's Last Theorem. The videotape also includes excerpts from an interview with Andrew Wiles made in Oxford, England, the day after he announced his proof in Cambridge. Both the booklet and the videotape are designed for a general audience. They deal not only with Fermat's Last Theorem itself, but with the excitement of mathematical discovery in general and the way mathematical ideas can illuminate other subjects
Set theory of the continuum by
H Judah(
Book
)
2 editions published in 1992 in English and held by 167 WorldCat member libraries worldwide
Primarily consisting of talks presented at a workshop at the MSRI during its "Logic Year" 198990, this volume is intended to reflect the whole spectrum of activities in set theory. The first section of the book comprises the invited papers surveying the state of the art in a wide range of topics of settheoretic research. The second section includes research papers on various aspects of set theory and its relation to algebra and topology. Contributors include: J. Bagaria, T. Bartoszynski, H. Becker, P. Dehornoy, Q. Feng, M. Foreman, M. Gitik, L. Harrington, S. Jackson, H. Judah, W. Just, A.S. Kechris, A. Louveau, S. MacLane, M. Magidor, A.R.D. Mathias, G. Melles, W.J. Mitchell, S. Shelah, R.A. Shore, R.I. Soare, L.J. Stanley, B. Velikovic, H. Woodin
2 editions published in 1992 in English and held by 167 WorldCat member libraries worldwide
Primarily consisting of talks presented at a workshop at the MSRI during its "Logic Year" 198990, this volume is intended to reflect the whole spectrum of activities in set theory. The first section of the book comprises the invited papers surveying the state of the art in a wide range of topics of settheoretic research. The second section includes research papers on various aspects of set theory and its relation to algebra and topology. Contributors include: J. Bagaria, T. Bartoszynski, H. Becker, P. Dehornoy, Q. Feng, M. Foreman, M. Gitik, L. Harrington, S. Jackson, H. Judah, W. Just, A.S. Kechris, A. Louveau, S. MacLane, M. Magidor, A.R.D. Mathias, G. Melles, W.J. Mitchell, S. Shelah, R.A. Shore, R.I. Soare, L.J. Stanley, B. Velikovic, H. Woodin
A decade of the Berkeley Math Circle : the American experience by
Calif.) Mathematical Sciences Research Institute (Berkeley(
Book
)
11 editions published between 2008 and 2015 in English and held by 163 WorldCat member libraries worldwide
11 editions published between 2008 and 2015 in English and held by 163 WorldCat member libraries worldwide
Circle in a box by
Sam Vandervelde(
Book
)
4 editions published in 2009 in English and held by 136 WorldCat member libraries worldwide
"Math circles provide a selling in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United Stales as well. The first part of this book offers helpful advice on all aspects of math circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions."Jacket
4 editions published in 2009 in English and held by 136 WorldCat member libraries worldwide
"Math circles provide a selling in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United Stales as well. The first part of this book offers helpful advice on all aspects of math circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions."Jacket
Thin groups and superstrong approximation by
Emmanuel Breuillard(
Book
)
2 editions published in 2014 in English and held by 127 WorldCat member libraries worldwide
"This is a collection of surveys and primarily expository articles focusing on recent developments concerning various quantitative aspects of 'thin groups.' There are discrete subgroups of semisimple Lie groups that are both big (Zariski dense) and small (of infinite covolume). This dual nature leads to many intricate questions. Over the past few years, many new ideas and techniques, arising in particular from arithmetic combinatorics, have been involved in the study of such groups, leading, for instance, to farreaching generalizations of the strong approximation theorem in which congruence quotients are shown to exhibit a spectral gap, referred to a superstrong aproximation. This book provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics. It arose from the MSRI hot topics workshop of the same name in February 2012."
2 editions published in 2014 in English and held by 127 WorldCat member libraries worldwide
"This is a collection of surveys and primarily expository articles focusing on recent developments concerning various quantitative aspects of 'thin groups.' There are discrete subgroups of semisimple Lie groups that are both big (Zariski dense) and small (of infinite covolume). This dual nature leads to many intricate questions. Over the past few years, many new ideas and techniques, arising in particular from arithmetic combinatorics, have been involved in the study of such groups, leading, for instance, to farreaching generalizations of the strong approximation theorem in which congruence quotients are shown to exhibit a spectral gap, referred to a superstrong aproximation. This book provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics. It arose from the MSRI hot topics workshop of the same name in February 2012."
Symplectic, Poisson, and noncommutative geometry by Algebra and Topology Symplectic and Poisson Geometry in Interaction with Analysis(
Book
)
2 editions published in 2014 in English and held by 123 WorldCat member libraries worldwide
2 editions published in 2014 in English and held by 123 WorldCat member libraries worldwide
Random matrix theory, interacting particle systems, and integrable systems by
Percy Deift(
Book
)
2 editions published in 2014 in English and held by 103 WorldCat member libraries worldwide
"Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and as a wide range of applications in physics, engineering, multivariate statistics and beyond. This volume is based on a Fall 2010 MSRI program which generated the solution of longstanding questions on universalities of Wigner matrices and betaensembles, and opened new research directions especially in relation to the KPZ universality class of interacting particle systems and lowrank perturbations. The book contains review articles and research contributions on all these topics, in addition to other core aspects of random matrix theory such as integrability and free probability theory. It will give both established and new researchers insights into the most recent advances in field and the connections among many subfields."
2 editions published in 2014 in English and held by 103 WorldCat member libraries worldwide
"Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and as a wide range of applications in physics, engineering, multivariate statistics and beyond. This volume is based on a Fall 2010 MSRI program which generated the solution of longstanding questions on universalities of Wigner matrices and betaensembles, and opened new research directions especially in relation to the KPZ universality class of interacting particle systems and lowrank perturbations. The book contains review articles and research contributions on all these topics, in addition to other core aspects of random matrix theory such as integrability and free probability theory. It will give both established and new researchers insights into the most recent advances in field and the connections among many subfields."
Commutative algebra and noncommutative algebraic geometry(
Book
)
in English and held by 76 WorldCat member libraries worldwide
in English and held by 76 WorldCat member libraries worldwide
Mathematics in Arcadia : Tom Stoppard in conversation with Robert Osserman by
Tom Stoppard(
Visual
)
4 editions published between 1999 and 2014 in English and held by 66 WorldCat member libraries worldwide
A dialogue between the mathematician Robert Osserman and the playwright Tom Stoppard commenting on Stoppard's play Arcadia. The plot of the stageplay revolves around the philosophical inquiries of a young woman and her tutor concerning the nature of mathematics, specifically Fermat's last theorem, and the investigations of two other scholars into the proofs for the theorem
4 editions published between 1999 and 2014 in English and held by 66 WorldCat member libraries worldwide
A dialogue between the mathematician Robert Osserman and the playwright Tom Stoppard commenting on Stoppard's play Arcadia. The plot of the stageplay revolves around the philosophical inquiries of a young woman and her tutor concerning the nature of mathematics, specifically Fermat's last theorem, and the investigations of two other scholars into the proofs for the theorem
Lectures and problems : a gift to young mathematicians by
V. I Arnolʹd(
Book
)
2 editions published in 2015 in English and held by 59 WorldCat member libraries worldwide
2 editions published in 2015 in English and held by 59 WorldCat member libraries worldwide
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Related Identities
 Moore, C. C. (Calvin C.) 1936 Author
 Nowakowski, Richard J. Editor
 Kac, Victor G. 1943
 Osserman, Robert
 Lepowsky, J. (James)
 Ribet, Kenneth Editor
 Singer, I. M. (Isadore Manuel) 1924 Editor
 Mandelstam, Stanley Editor
 Serre, JeanPierre 1926 Editor
 Ihara, Y. (Yasutaka) 1938 Editor
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Associated Subjects
Algorithms BuildingsEnvironmental aspects Calculus of variationsData processing California CaliforniaBerkeley CaliforniaSan Francisco Bay Area Campus planning Combinatorial analysis Combinatorial group theory Commutative algebra Computer graphics Environmental impact statements Ergodic theory Fermat's last theorem Finite groups Functions of several complex variables Galois theory Game theory Geometry, Algebraic Geometry, DifferentialData processing Group theory Lax, Peter D Lie algebras Lie groups Mackey, George W.(George Whitelaw), Mathematical physics Mathematical Sciences Research Institute (Berkeley, Calif.) Mathematicians Mathematics MathematicsResearch MathematicsStudy and teaching (Higher) MathematicsStudy and teaching (Middle school) MathematicsStudy and teaching (Secondary) Monologues, American Nonassociative algebras Noncommutative differential geometry Noncommutative rings Operator algebras Planning Poisson manifolds Quantum field theory Random matrices Representations of groups Research institutes Rings (Algebra) Set theory Symplectic geometry University of California, Berkeley University of California, Berkeley.Department of Mathematics Wavemotion, Theory of
Alternative Names
University of California, Berkeley
Mathematical Sciences Research Institute
Mathematical Sciences Research Institute istituto di ricerca di matematica
Mathematical Sciences Research Institute onderzoeksinstituut in Californië, Verenigde Staten van Amerika
MSRI
MSRI (Mathematical Sciences Research Institute (Berkeley, Calif.))
National research council
National research council EtatsUnis Mathematical sciences research institute Berkeley, Calif.
University of California, Berkeley Mathematical sciences research institute
University of California Mathematical Sciences Research Institute
موسسه پژوهشی علوم ریاضی
数理科学研究所
美国国家数学科学研究所
美國國家數學科學研究所
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