The Gelfand Mathematical Seminars 1990 1992

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The Gelfand Mathematical Seminars, 1990–1992

Author : L. Corwin
Publisher : Springer Science & Business Media
ISBN 13 : 1461203457
Total Pages : 239 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Gelfand Mathematical Seminars, 1990–1992 by : L. Corwin

Download or read book The Gelfand Mathematical Seminars, 1990–1992 written by L. Corwin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Seminar began in Moscow in November 1943 and has continued without interruption up to the present. We are happy that with this vol ume, Birkhiiuser has begun to publish papers of talks from the Seminar. It was, unfortunately, difficult to organize their publication before 1990. Since 1990, most of the talks have taken place at Rutgers University in New Brunswick, New Jersey. Parallel seminars were also held in Moscow, and during July, 1992, at IRES in Bures-sur-Yvette, France. Speakers were invited to submit papers in their own style, and to elaborate on what they discussed in the Seminar. We hope that readers will find the diversity of styles appealing, and recognize that to some extent this reflects the diversity of styles in a mathematical society. The principal aim was to have interesting talks, even if the topic was not especially popular at the time. The papers listed in the Table of Contents reflect some of the rich variety of ideas presented in the Seminar. Not all the speakers submit ted papers. Among the interesting talks that influenced the seminar in an important way, let us mention, for example, that of R. Langlands on per colation theory and those of J. Conway and J. McKay on sporadic groups. In addition, there were many extemporaneous talks as well as short discus sions.

The Gelfand Mathematical Seminars, 1993–1995

Author : I.M. Gelfand
Publisher : Springer Science & Business Media
ISBN 13 : 1461240824
Total Pages : 278 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Gelfand Mathematical Seminars, 1993–1995 by : I.M. Gelfand

Download or read book The Gelfand Mathematical Seminars, 1993–1995 written by I.M. Gelfand and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Seminar has taken place at Rutgers University in New Brunswick, New Jersey, since 1990 and it has become a tradition, starting in 1992, that the Seminar be held during July at IHES in Bures-sur-Yvette, France. This is the second Gelfand Seminar volume published by Birkhauser, the first having covered the years 1990-1992. Most of the papers in this volume result from Seminar talks at Rutgers, and some from talks at IHES. In the case of a few of the papers the authors did not attend, but the papers are in the spirit of the Seminar. This is true in particular of V. Arnold's paper. He has been connected with the Seminar for so many years that his paper is very natural in this volume, and we are happy to have it included here. We hope that many people will find something of interest to them in the special diversity of topics and the uniqueness of spirit represented here. The publication of this volume would be impossible without the devoted attention of Ann Kostant. We are extremely grateful to her. I. Gelfand J. Lepowsky M. Smirnov Questions and Answers About Geometric Evolution Processes and Crystal Growth Fred Almgren We discuss evolutions of solids driven by boundary curvatures and crystal growth with Gibbs-Thomson curvature effects. Geometric measure theo retic techniques apply both to smooth elliptic surface energies and to non differentiable crystalline surface energies.

The Gelfand Mathematical Seminars, 1996–1999

Author : Israel M. Gelfand
Publisher : Springer Science & Business Media
ISBN 13 : 1461213401
Total Pages : 161 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Gelfand Mathematical Seminars, 1996–1999 by : Israel M. Gelfand

Download or read book The Gelfand Mathematical Seminars, 1996–1999 written by Israel M. Gelfand and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the memory of Chih-Han Sah, this volume continues a long tradition of one of the most influential mathematical seminars of this century. A number of topics are covered, including combinatorial geometry, connections between logic and geometry, Lie groups, algebras and their representations. An additional area of importance is noncommutative algebra and geometry, and its relations to modern physics. Distinguished mathematicians contributing to this work: T.V. Alekseevskaya V. Kac

New Developments in Singularity Theory

Author : Dirk Wiersma
Publisher : Springer Science & Business Media
ISBN 13 : 9401008345
Total Pages : 470 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis New Developments in Singularity Theory by : Dirk Wiersma

Download or read book New Developments in Singularity Theory written by Dirk Wiersma and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.

Functional Analysis on the Eve of the 21st Century

Author : Simon Gindikin
Publisher : Springer Science & Business Media
ISBN 13 : 1461240980
Total Pages : 348 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Functional Analysis on the Eve of the 21st Century by : Simon Gindikin

Download or read book Functional Analysis on the Eve of the 21st Century written by Simon Gindikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.

The Mathematics of Chip-Firing

Author : Caroline J. Klivans
Publisher : CRC Press
ISBN 13 : 1351801007
Total Pages : 203 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis The Mathematics of Chip-Firing by : Caroline J. Klivans

Download or read book The Mathematics of Chip-Firing written by Caroline J. Klivans and published by CRC Press. This book was released on 2018-11-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.

Real Homotopy of Configuration Spaces

Author : Najib Idrissi
Publisher : Springer Nature
ISBN 13 : 3031044282
Total Pages : 201 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Real Homotopy of Configuration Spaces by : Najib Idrissi

Download or read book Real Homotopy of Configuration Spaces written by Najib Idrissi and published by Springer Nature. This book was released on 2022-06-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds. Configuration spaces consist of collections of pairwise distinct points in a given manifold, the study of which is a classical topic in algebraic topology. One of this theory’s most important questions concerns homotopy invariance: if a manifold can be continuously deformed into another one, then can the configuration spaces of the first manifold be continuously deformed into the configuration spaces of the second? This conjecture remains open for simply connected closed manifolds. Here, it is proved in characteristic zero (i.e. restricted to algebrotopological invariants with real coefficients), using ideas from the theory of operads. A generalization to manifolds with boundary is then considered. Based on the work of Campos, Ducoulombier, Lambrechts, Willwacher, and the author, the book covers a vast array of topics, including rational homotopy theory, compactifications, PA forms, propagators, Kontsevich integrals, and graph complexes, and will be of interest to a wide audience.

Factorization Algebras in Quantum Field Theory: Volume 2

Author : Kevin Costello
Publisher : Cambridge University Press
ISBN 13 : 1316730182
Total Pages : 418 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Factorization Algebras in Quantum Field Theory: Volume 2 by : Kevin Costello

Download or read book Factorization Algebras in Quantum Field Theory: Volume 2 written by Kevin Costello and published by Cambridge University Press. This book was released on 2021-09-23 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin–Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory.

The Moduli Space of Curves

Author : Robert H. Dijkgraaf
Publisher : Springer Science & Business Media
ISBN 13 : 1461242649
Total Pages : 570 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Moduli Space of Curves by : Robert H. Dijkgraaf

Download or read book The Moduli Space of Curves written by Robert H. Dijkgraaf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.

Quantum Groups

Author : Benjamin Enriquez
Publisher : European Mathematical Society
ISBN 13 : 9783037190470
Total Pages : 148 pages
Book Rating : 4.1/5 (94 download)

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Book Synopsis Quantum Groups by : Benjamin Enriquez

Download or read book Quantum Groups written by Benjamin Enriquez and published by European Mathematical Society. This book was released on 2008 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume starts with a lecture course by P. Etingof on tensor categories (notes by D. Calaque). This course is an introduction to tensor categories, leading to topics of recent research such as realizability of fusion rings, Ocneanu rigidity, module categories, weak Hopf algebras, Morita theory for tensor categories, lifting theory, categorical dimensions, Frobenius-Perron dimensions, and the classification of tensor categories. The remainder of the book consists of three detailed expositions on associators and the Vassiliev invariants of knots, classical and quantum integrable systems and elliptic algebras, and the groups of algebra automorphisms of quantum groups. The preface puts the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of the ongoing research in the domain of quantum groups, an important subject of current mathematical physics.

Group Theory

Author : Predrag Cvitanović
Publisher : Princeton University Press
ISBN 13 : 9780691118369
Total Pages : 296 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Group Theory by : Predrag Cvitanović

Download or read book Group Theory written by Predrag Cvitanović and published by Princeton University Press. This book was released on 2008-07-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1. Introduction 1 Chapter 2. A preview 5 2.1 Basic concepts 5 2.2 First example: SU(n) 9 2.3 Second example: E6 family 12 Chapter 3. Invariants and reducibility 14 3.1 Preliminaries 14 3.2 Defining space, tensors, reps 18 3.3 Invariants 19 3.4 Invariance groups 22 3.5 Projection operators 24 3.6 Spectral decomposition 25 Chapter 4. Diagrammatic notation 27 4.1 Birdtracks 27 4.2 Clebsch-Gordan coefficients 29 4.3 Zero- and one-dimensional subspaces 32 4.4 Infinitesimal transformations 32 4.5 Lie algebra 36 4.6 Other forms of Lie algebra commutators 38 4.7 Classification of Lie algebras by their primitive invariants 38 4.8 Irrelevancy of clebsches 39 4.9 A brief history of birdtracks 40 Chapter 5. Recouplings 43 5.1 Couplings and recouplings 43 5.2 Wigner 3n-j coefficients 46 5.3 Wigner-Eckart theorem 47 Chapter 6. Permutations 50 6.1 Symmetrization 50 6.2 Antisymmetrization 52 6.3 Levi-Civita tensor 54 6.4 Determinants 56 6.5 Characteristic equations 58 6.6 Fully (anti)symmetric tensors 58 6.7 Identically vanishing tensors 59 Chapter 7. Casimir operators 61 7.1 Casimirs and Lie algebra 62 7.2 Independent casimirs 63 7.3 Adjoint rep casimirs 65 7.4 Casimir operators 66 7.5 Dynkin indices 67 7.6 Quadratic, cubic casimirs 70 7.7 Quartic casimirs 71 7.8 Sundry relations between quartic casimirs 73 7.9 Dynkin labels 76 Chapter 8. Group integrals 78 8.1 Group integrals for arbitrary reps 79 8.2 Characters 81 8.3 Examples of group integrals 82 Chapter 9. Unitary groups 84 P Cvitanovid, H. Elvang, and A.D. Kennedy 9.1 Two-index tensors 84 9.2 Three-index tensors 85 9.3 Young tableaux 86 9.4 Young projection operators 92 9.5 Reduction of tensor products 96 9.6 U(n) recoupling relations 100 9.7 U(n) 3n-j symbols 101 9.8 SU(n) and the adjoint rep 105 9.9 An application of the negative dimensionality theorem 107 9.10 SU(n) mixed two-index tensors 108 9.11 SU(n) mixed defining @ adjoint tensors 109 9.12 SU(n) two-index adjoint tensors 112 9.13 Casimirs for the fully symmetric reps of SU(n) 117 9.14 SU(n), U(n) equivalence in adjoint rep 118 9.15 Sources 119 Chapter 10. Orthogonal groups 121 10.1 Two-index tensors 122 10.2 Mixed adjoint 0 defining rep tensors 123 10.3 Two-index adjoint tensors 124 10.4 Three-index tensors 128 10.5 Gravity tensors 130 10.6 SO(n) Dynkin labels 133 Chapter 11. Spinors 135 P Cvitanovi6 and A.D. Kennedy 11.1 Spinography 136 11.2 Fierzing around 139 11.3 Fierz coefficients 143 11.4 6-j coefficients 144 11.5 Exemplary evaluations, continued 146 11.6 Invariance of y-matrices 147 11.7 Handedness 148 11.8 Kahane algorithm 149 Chapter 12. Symplectic groups 152 12.1 Two-index tensors 153 Chapter 13. Negative dimensions 155 P Cvitanovid and A.D. Kennedy 13.1 SU(n) = 3U( -n) 156 13.2 SO(n) = Yp( -n) 158 Chapter 14. Spinors' symplectic sisters 160 P Cvitanovid and A.D. Kennedy 14.1 Spinsters 160 14.2 Racah coefficients 165 14.3 Heisenberg algebras 166 Chapter 15. SU(n) family of invariance groups 168 15.1 Reps of SU(2) 168 15.2 SU(3) as invariance group of a cubic invariant 170 15.3 Levi-Civita tensors and SU(n) 173 15.4 SU(4)-SO(6) isomorphism 174 Chapter 16. G2 family of invariance groups 176 16.1 Jacobi relation 178 16.2 Alternativity and reduction of f-contractions 178 16.3 Primitivity implies alternativity 181 16.4 Casimirs for G2 183 16.5 Hurwitz's theorem 184 Chapter 17. E8 family of invariance groups 186 17.1 Two-index tensors 187 17.2 Decomposition of Sym3A 190 17.3 Diophantine conditions 192 17.4 Dynkin labels and Young tableaux for Fe 193 Chapter 18. E6 family of invariance groups 196 18.1 Reduction of two-index tensors 196 18.2 Mixed two-index tensors 198 18.3 Diophantine conditions and the Eý family 199 18.4 Three-index tensors 200 18.5 Defining 0 adjoint tensors 202 18.6 Two-index adjoint tensors 205 18.7 Dynkin labels and Young tableaux for 6 209 18.8 Casimirs for E6 210 18.9 Subgroups of EF 213 18.10 Springer relation 213 18.11 Springer's construction of 4 214 Chapter 19. F4 family of invariance groups 216 19.1 Two-index tensors 19.2 Defining 0 adjoint tensors 216 19.3 Jordan algebra and F4(26) 219 19.4 Dynkin labels and Young tableaux for F4 223 Chapter 20. E7 family and its negative-dimensional cousins 224 20.1 SO(4) family 20.2 Defining ® adjoint tensors 225 20.3 Lie algebra identification 227 20.4 E7 family 228 20.5 Dynkin labels and Young tableaux for E 233 Chapter 21. Exceptional magic 235 21.1 Magic Triangle 235 21.2 A brief history of exceptional magic 238 21.3 Extended supergravities and the Magic Triangle 238 Epilogue 242 Appendix A. Recursive decomposition 244 Appendix B. Properties of Young projections 246 H. Elvang and P Cvitanovid B.1 Uniqueness of Young projection operators B.2 Orthogonality 246 B.3 Normalization and completeness 247 B.4 Dimension formula 247 248.

Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces

Author : I︠U︡. I. Manin
Publisher : American Mathematical Soc.
ISBN 13 : 0821819178
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces by : I︠U︡. I. Manin

Download or read book Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces written by I︠U︡. I. Manin and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The author's approach to quantum cohomology is based on the notion of the Frobenius manifold. The first part of the book is devoted to this notion and its extensive interconnections with algebraic formalism of operads, differential equations, perturbations, and geometry. In the second part of the book, the author describes the construction of quantum cohomology and reviews the algebraic geometry mechanisms involved in this construction (intersection and deformation theory of Deligne-Artin and Mumford stacks). Yuri Manin is currently the director of the Max-Planck-Institut für Mathematik in Bonn, Germany. He has authored and coauthored 10 monographs and almost 200 research articles in algebraic geometry, number theory, mathematical physics, history of culture, and psycholinguistics. Manin's books, such as Cubic Forms: Algebra, Geometry, and Arithmetic (1974), A Course in Mathematical Logic (1977), Gauge Field Theory and Complex Geometry (1988), Elementary Particles: Mathematics, Physics and Philosophy (1989, with I. Yu. Kobzarev), Topics in Non-commutative Geometry (1991), and Methods of Homological Algebra (1996, with S. I. Gelfand), secured for him solid recognition as an excellent expositor. Undoubtedly the present book will serve mathematicians for many years to come.

Formal Power Series and Algebraic Combinatorics

Author : Daniel Krob
Publisher : Springer Science & Business Media
ISBN 13 : 3662041669
Total Pages : 815 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Formal Power Series and Algebraic Combinatorics by : Daniel Krob

Download or read book Formal Power Series and Algebraic Combinatorics written by Daniel Krob and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...

Discriminants, Resultants, and Multidimensional Determinants

Author : Israel M. Gelfand
Publisher : Springer Science & Business Media
ISBN 13 : 0817647708
Total Pages : 529 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Discriminants, Resultants, and Multidimensional Determinants by : Israel M. Gelfand

Download or read book Discriminants, Resultants, and Multidimensional Determinants written by Israel M. Gelfand and published by Springer Science & Business Media. This book was released on 2008-04-16 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory."—Mathematical Reviews

The Bispectral Problem

Author : John P. Harnad
Publisher : American Mathematical Soc.
ISBN 13 : 0821809490
Total Pages : 245 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Bispectral Problem by : John P. Harnad

Download or read book The Bispectral Problem written by John P. Harnad and published by American Mathematical Soc.. This book was released on 1998 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises 16 papers from the March 1997 meeting on the subject in Montreal. The focus is on the search for solutions to eigenvalue problems that satisfy additional equations in the spectral parameter such as pairs of eigenvalue equations. Among the topics: automorphisms of the weyl algebra and bispectral operators, Huygens Principle, beyond the classical orthogonal polynomials, dual isomonodromic deformations, Darboux transformations, explicit formulas for the Airy and Bessel bispectral involutions in terms of Calogero-Moser pairs, Baker-Akhiezer functions and the bispectral problem in many dimensions, and the geometry of spinors and the multicomponent BKP and DKP hierarchies. Annotation copyrighted by Book News, Inc., Portland, OR

Homotopy Invariant Algebraic Structures

Author : Jean-Pierre Meyer
Publisher : American Mathematical Soc.
ISBN 13 : 082181057X
Total Pages : 392 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Homotopy Invariant Algebraic Structures by : Jean-Pierre Meyer

Download or read book Homotopy Invariant Algebraic Structures written by Jean-Pierre Meyer and published by American Mathematical Soc.. This book was released on 1999 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the conference held in honor of J. Michael Boardman's 60th birthday. It brings into print his classic work on conditionally convergent spectral sequences. Over the past 30 years, it has become evident that some of the deepest questions in algebra are best understood against the background of homotopy theory. Boardman and Vogt's theory of homotopy-theoretic algebraic structures and the theory of spectra, for example, were two benchmark breakthroughs underlying the development of algebraic $K$-theory and the recent advances in the theory of motives. The volume begins with short notes by Mac Lane, May, Stasheff, and others on the early and recent history of the subject. But the bulk of the volume consists of research papers on topics that have been strongly influenced by Boardman's work. Articles give readers a vivid sense of the current state of the theory of "homotopy-invariant algebraic structures". Also included are two major foundational papers by Goerss and Strickland on applications of methods of algebra (i.e., Dieudonné modules and formal schemes) to problems of topology. Boardman is known for the depth and wit of his ideas. This volume is intended to reflect and to celebrate those fine characteristics.

Simplicial Complexes of Graphs

Author : Jakob Jonsson
Publisher : Springer Science & Business Media
ISBN 13 : 3540758585
Total Pages : 376 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Simplicial Complexes of Graphs by : Jakob Jonsson

Download or read book Simplicial Complexes of Graphs written by Jakob Jonsson and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.