Topology Geometry And Algebra Interactions And New Directions

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Topology, Geometry, and Algebra: Interactions and new directions

Author : Alejandro Adem
Publisher : American Mathematical Soc.
ISBN 13 : 082182063X
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology, Geometry, and Algebra: Interactions and new directions by : Alejandro Adem

Download or read book Topology, Geometry, and Algebra: Interactions and new directions written by Alejandro Adem and published by American Mathematical Soc.. This book was released on 2001 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings from the conference on ``Topology, Geometry, and Algebra: Interactions and New Directions'' held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications. Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgerytheory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas.

Algebraic Topology

Author : Nils Baas
Publisher : Springer Science & Business Media
ISBN 13 : 3642012000
Total Pages : 417 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Algebraic Topology by : Nils Baas

Download or read book Algebraic Topology written by Nils Baas and published by Springer Science & Business Media. This book was released on 2009-08-05 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor. As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new.

Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering

Author : Edward L. Green
Publisher : American Mathematical Soc.
ISBN 13 : 0821826794
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering by : Edward L. Green

Download or read book Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering written by Edward L. Green and published by American Mathematical Soc.. This book was released on 2001 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings from the research conference, Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering, held at Mount Holyoke College, USA. It provides an overview of contemporary research in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop the theoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.

Inverse Problems, Image Analysis, and Medical Imaging

Author : M. Zuhair Nashed
Publisher : American Mathematical Soc.
ISBN 13 : 0821829793
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Inverse Problems, Image Analysis, and Medical Imaging by : M. Zuhair Nashed

Download or read book Inverse Problems, Image Analysis, and Medical Imaging written by M. Zuhair Nashed and published by American Mathematical Soc.. This book was released on 2002 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the Special Session, Interaction of Inverse Problems and Image Analysis, held at the January 2001 meeting of the AMS in New Orleans, LA. The common thread among inverse problems, signal analysis, and image analysis is a canonical problem: recovering an object (function, signal, picture) from partial or indirect information about the object. Both inverse problems and imaging science have emerged in recent years as interdisciplinary research fields with profound applications in many areas of science, engineering, technology, and medicine. Research in inverse problems and image processing shows rich interaction with several areas of mathematics and strong links to signal processing, variational problems, applied harmonic analysis, and computational mathematics. This volume contains carefully referred and edited original research papers and high-level survey papers that provide overview and perspective on the interaction of inverse problems, image analysis, and medical imaging. The book is suitable for graduate students and researchers interested in signal and image processing and medical imaging.

Global Differential Geometry

Author : Alfred Gray
Publisher : American Mathematical Soc.
ISBN 13 : 0821827502
Total Pages : 490 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Global Differential Geometry by : Alfred Gray

Download or read book Global Differential Geometry written by Alfred Gray and published by American Mathematical Soc.. This book was released on 2001 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alfred Gray's work covered a great part of differential geometry. In September 2000, a remarkable International Congress on Differential Geometry was held in his memory in Bilbao, Spain. Mathematicians from all over the world, representing 24 countries, attended the event. This volume includes major contributions by well known mathematicians (T. Banchoff, S. Donaldson, H. Ferguson, M. Gromov, N. Hitchin, A. Huckleberry, O. Kowalski, V. Miquel, E. Musso, A. Ros, S. Salamon, L. Vanhecke, P. Wellin and J.A. Wolf), the interesting discussion from the round table moderated by J.-P. Bourguignon, and a carefully selected and refereed selection of the Short Communications presented at the Congress. This book represents the state of the art in modern differential geometry, with some general expositions of some of the more active areas: special Riemannian manifolds, Lie groups and homogeneous spaces, complex structures, symplectic manifolds, geometry of geodesic spheres and tubes and related problems, geometry of surfaces, and computer graphics in differential geometry.

Algebraic Methods in Statistics and Probability

Author : Marlos A. G. Viana
Publisher : American Mathematical Soc.
ISBN 13 : 0821826875
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Methods in Statistics and Probability by : Marlos A. G. Viana

Download or read book Algebraic Methods in Statistics and Probability written by Marlos A. G. Viana and published by American Mathematical Soc.. This book was released on 2001 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

Differential Geometry and Integrable Systems

Author : Martin A. Guest
Publisher : American Mathematical Soc.
ISBN 13 : 0821829386
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Geometry and Integrable Systems by : Martin A. Guest

Download or read book Differential Geometry and Integrable Systems written by Martin A. Guest and published by American Mathematical Soc.. This book was released on 2002 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced byintegrable systems. This book is the first of three collections of expository and research articles. This volume focuses on differential geometry. It is remarkable that many classical objects in surface theory and submanifold theory are described as integrable systems. Having such a description generallyreveals previously unnoticed symmetries and can lead to surprisingly explicit solutions. Surfaces of constant curvature in Euclidean space, harmonic maps from surfaces to symmetric spaces, and analogous structures on higher-dimensional manifolds are some of the examples that have broadened the horizons of differential geometry, bringing a rich supply of concrete examples into the theory of integrable systems. Many of the articles in this volume are written by prominent researchers and willserve as introductions to the topics. It is intended for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The second volume from this conference also available from the AMS is Integrable Systems,Topology, and Physics, Volume 309 CONM/309in the Contemporary Mathematics series. The forthcoming third volume will be published by the Mathematical Society of Japan and will be available outside of Japan from the AMS in the Advanced Studies in Pure Mathematics series.

Recent Developments in Algebraic Topology

Author : Samuel Gitler
Publisher : American Mathematical Soc.
ISBN 13 : 0821836765
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Algebraic Topology by : Samuel Gitler

Download or read book Recent Developments in Algebraic Topology written by Samuel Gitler and published by American Mathematical Soc.. This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an excellent illustration of the versatility of Algebraic Topology interacting with other areas in Mathematics and Physics. Topics discussed in this volume range from classical Differential Topology and Homotopy Theory (Kervaire invariant one problem) to more recent lines of research such as Topological Quantum Field Theory (string theory). Likewise, alternative viewpoints on classical problems in Global Analysis and Dynamical Systems are developed (a spectral sequence approach to normal form theory). This collection of papers is based on talks at the conference on the occasion of Sam Gitler's 70th birthday (December, 2003). The variety of topics covered in this book reflects the many areas where Sam Gitler's contributions have had an impact.

Symposium in Honor of C. H. Clemens

Author : Aaron Bertram
Publisher : American Mathematical Soc.
ISBN 13 : 0821821520
Total Pages : 304 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symposium in Honor of C. H. Clemens by : Aaron Bertram

Download or read book Symposium in Honor of C. H. Clemens written by Aaron Bertram and published by American Mathematical Soc.. This book was released on 2002 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathers the 14 papers presented during a March 2000 symposium on algebraic geometry. The contributors survey the links between geometry and the theory of Korteweg de Vries (KdV) equations, as well as new developments in orbifold string theory. Other papers investigate orthogonal complex hyperbolic arrangements, vector bundles on the cubic threefold, using symmetry to count rational curves, the Nash conjecture for non-projective threefolds, and the punctual Hilbert scheme of a symplectic fourfold. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Second Summer School in Analysis and Mathematical Physics

Author : Salvador Pérez-Esteva
Publisher : American Mathematical Soc.
ISBN 13 : 0821827081
Total Pages : 288 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Second Summer School in Analysis and Mathematical Physics by : Salvador Pérez-Esteva

Download or read book Second Summer School in Analysis and Mathematical Physics written by Salvador Pérez-Esteva and published by American Mathematical Soc.. This book was released on 2001 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the second time, a Summer School in Analysis and Mathematical Physics took place at the Universidad Nacional Autonoma de Mexico in Cuernavaca. The purpose of the schools is to provide a bridge from standard graduate courses in mathematics to current research topics, particularly in analysis. The lectures are given by internationally recognized specialists in the fields. The topics covered in this Second Summer School include harmonic analysis, complex analysis, pseudodifferential operators, the mathematics of quantum chaos, and non-linear analysis.

Algebraic and Geometric Surgery

Author : Andrew Ranicki
Publisher : Clarendon Press
ISBN 13 : 0191545244
Total Pages : 386 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Algebraic and Geometric Surgery by : Andrew Ranicki

Download or read book Algebraic and Geometric Surgery written by Andrew Ranicki and published by Clarendon Press. This book was released on 2002-09-26 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, cobordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.

Groupoids in Analysis, Geometry, and Physics

Author : Arlan Ramsay
Publisher : American Mathematical Soc.
ISBN 13 : 0821820427
Total Pages : 208 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Groupoids in Analysis, Geometry, and Physics by : Arlan Ramsay

Download or read book Groupoids in Analysis, Geometry, and Physics written by Arlan Ramsay and published by American Mathematical Soc.. This book was released on 2001 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groupoids often occur when there is symmetry of a nature not expressible in terms of groups. Other uses of groupoids can involve something of a dynamical nature. Indeed, some of the main examples come from group actions. It should also be noted that in many situations where groupoids have been used, the main emphasis has not been on symmetry or dynamics issues. While the implicit symmetry and dynamics are relevant, the groupoid records mostly the structure of the space of leaves and the holonomy. More generally, the use of groupoids is very much related to various notions of orbit equivalance. This book presents the proceedings from the Joint Summer Research Conference on ``Groupoids in Analysis, Geometry, and Physics'' held in Boulder, CO. The book begins with an introduction to ways in which groupoids allow a more comprehensive view of symmetry than is seen via groups. Topics range from foliations, pseudo-differential operators, $KK$-theory, amenability, Fell bundles, and index theory to quantization of Poisson manifolds. Readers will find examples of important tools for working with groupoids. This book is geared to students and researchers. It is intended to improve their understanding of groupoids and to encourage them to look further while learning about the tools used.

Orbifolds in Mathematics and Physics

Author : Alejandro Adem
Publisher : American Mathematical Soc.
ISBN 13 : 0821829904
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Orbifolds in Mathematics and Physics by : Alejandro Adem

Download or read book Orbifolds in Mathematics and Physics written by Alejandro Adem and published by American Mathematical Soc.. This book was released on 2002 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book publishes papers originally presented at a conference on the Mathematical Aspects of Orbifold String Theory, hosted by the University of Wisconsin-Madison. It contains a great deal of information not fully covered in the published literature and showcases the current state of the art in orbital string theory. The subject of orbifolds has a long prehistory, going back to the work of Thurston and Haefliger, with roots in the theory of manifolds, group actions, and foliations. The recent explosion of activity on the topic has been powered by applications of orbifolds to moduli problems and quantum field theory. The present volume presents an interdisciplinary look at orbifold problems. Topics such as stacks, vertex operator algebras, branes, groupoids, K-theory and quantum cohomology are discussed. The book reflects the thinking of distinguished investigators working in the areas of mathematical physics, algebraic geometry, algebraic topology, symplectic geometry and representation theory. By presenting the work of a broad range of mathematicians and physicists who use and study orbifolds, it familiarizes readers with the various points of view and types of results the researchers bring to the subject.

Waves in Periodic and Random Media

Author : Peter Kuchment
Publisher : American Mathematical Soc.
ISBN 13 : 0821832867
Total Pages : 232 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Waves in Periodic and Random Media by : Peter Kuchment

Download or read book Waves in Periodic and Random Media written by Peter Kuchment and published by American Mathematical Soc.. This book was released on 2003 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure. This book contains the proceedings of the research conference, ``Waves in Periodic and Random Media''. Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics.

Council for African American Researchers in the Mathematical Sciences: Volume IV

Author : Gaston M. N'Guerekata
Publisher : American Mathematical Soc.
ISBN 13 : 0821827936
Total Pages : 152 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Council for African American Researchers in the Mathematical Sciences: Volume IV by : Gaston M. N'Guerekata

Download or read book Council for African American Researchers in the Mathematical Sciences: Volume IV written by Gaston M. N'Guerekata and published by American Mathematical Soc.. This book was released on 2001 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first conference in 1995, significant numbers of researchers have presented their current work in technical talks, and graduate students have presented their work in organized poster sessions."--BOOK JACKET.

The Geometrical Study of Differential Equations

Author : Joshua Allensworth Leslie
Publisher : American Mathematical Soc.
ISBN 13 : 0821829645
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Geometrical Study of Differential Equations by : Joshua Allensworth Leslie

Download or read book The Geometrical Study of Differential Equations written by Joshua Allensworth Leslie and published by American Mathematical Soc.. This book was released on 2001 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on some of the talks given at the NSF-CBMS conference on ``The Geometrical Study of Differential Equations'' held at Howard University (Washington, DC). The collected papers present important recent developments in this area, including the treatment of nontransversal group actions in the theory of group invariant solutions of PDEs, a method for obtaining discrete symmetries of differential equations, the establishment of a group-invariant version of the variational complex based on a general moving frame construction, the introduction of a new variational complex for the calculus of difference equations and an original structural investigation of Lie-Backlund transformations. The book opens with a modern and illuminating overview of Lie's line-sphere correspondence and concludes with several interesting open problems arising from symmetry analysis of PDEs. It offers a rich source of inspiration for new or established researchers in the field. This book can serve nicely as a companion volume to a forthcoming book written by the principle speaker at the conference, Professor Niky Kamran, to be published in the AMS series, CBMS Regional Conference Series in Mathematics.

Dynamical, Spectral, and Arithmetic Zeta Functions

Author : Michel Laurent Lapidus
Publisher : American Mathematical Soc.
ISBN 13 : 0821820796
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Dynamical, Spectral, and Arithmetic Zeta Functions by : Michel Laurent Lapidus

Download or read book Dynamical, Spectral, and Arithmetic Zeta Functions written by Michel Laurent Lapidus and published by American Mathematical Soc.. This book was released on 2001 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined for number-theoretic purposes, such as the study of primes in arithmetic progressions. This led to the development of $L$-functions, which now have several guises. It eventually became clear that the basic construction used for number-theoretic zeta functions can also be used in other settings, such as dynamics, geometry, and spectral theory, with remarkable results. This volume grew out of the special session on dynamical, spectral, and arithmetic zeta functions held at the annual meeting of the American Mathematical Society in San Antonio, but also includes four articles that were invited to be part of the collection. The purpose of the meeting was to bring together leading researchers, to find links and analogies between their fields, and to explore new methods. The papers discuss dynamical systems, spectral geometry on hyperbolic manifolds, trace formulas in geometry and in arithmetic, as well as computational work on the Riemann zeta function. Each article employs techniques of zeta functions. The book unifies the application of these techniques in spectral geometry, fractal geometry, and number theory. It is a comprehensive volume, offering up-to-date research. It should be useful to both graduate students and confirmed researchers.