Contemporary Trends In Algebraic Geometry And Algebraic Topology

Author : Shiing-shen Chern,Richard Hain,Lei Fu
Publisher : World Scientific
Page : 276 pages
File Size : 44,9 Mb
Release : 2002-08-02
Category : Mathematics
ISBN : 9789814488518

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Contemporary Trends In Algebraic Geometry And Algebraic Topology by Shiing-shen Chern,Richard Hain,Lei Fu Pdf

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.

Author : Shiing-Shen Chern
Publisher : World Scientific
Page : 278 pages
File Size : 48,8 Mb
Release : 2002
Category : Mathematics
ISBN : 9812777415

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Contemporary Trends in Algebraic Geometry and Algebraic Topology by Shiing-Shen Chern Pdf

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen''s interated integrals, algebraic fiber spaces, and others.

Author : Richard M. Kane
Publisher : Unknown
Page : 128 pages
File Size : 52,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : OCLC:174582327

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Current Trends in Algebraic Topology by Richard M. Kane Pdf

Author : Piotr Pragacz
Publisher : Springer Science & Business Media
Page : 236 pages
File Size : 48,8 Mb
Release : 2008-03-12
Category : Mathematics
ISBN : 3764385375

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Algebraic Cycles, Sheaves, Shtukas, and Moduli by Piotr Pragacz Pdf

Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.

Author : Mark E. Mahowald
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 43,9 Mb
Release : 1998
Category : Geometry, Algebraic
ISBN : 9780821808054

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Homotopy Theory via Algebraic Geometry and Group Representations by Mark E. Mahowald Pdf

The academic year 1996-97 was designated as a special year in Algebraic Topology at Northwestern University (Evanston, IL). In addition to guest lecturers and special courses, an international conference was held entitled "Current trends in algebraic topology with applications to algebraic geometry and physics". The series of plenary lectures included in this volume indicate the great breadth of the conference and the lively interaction that took place among various areas of mathematics. Original research papers were submitted, and all submissions were refereed to the usual journal standards.

Author : Jean H Gallier,Jocelyn Quaintance
Publisher : World Scientific
Page : 799 pages
File Size : 54,9 Mb
Release : 2022-01-19
Category : Mathematics
ISBN : 9789811245046

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Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry by Jean H Gallier,Jocelyn Quaintance Pdf

For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessential theorems are presented in detail rarely found in the standard texts.

Author : Piotr Pragacz
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 55,5 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783764373429

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Topics in Cohomological Studies of Algebraic Varieties by Piotr Pragacz Pdf

The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis

Author : Carles Broto,Carles Casacuberta,Guido Mislin
Publisher : Birkhäuser
Page : 405 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890182

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Algebraic Topology: New Trends in Localization and Periodicity by Carles Broto,Carles Casacuberta,Guido Mislin Pdf

Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.

Author : Claudio Bartocci,Luciano Boi,Corrado Sinigaglia
Publisher : World Scientific
Page : 329 pages
File Size : 46,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9781848166424

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New Trends in Geometry by Claudio Bartocci,Luciano Boi,Corrado Sinigaglia Pdf

This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modeling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, molecular and cell biology, and the neurosciences, will constitute the new frontier and challenge for 21st century science, where breakthroughs are more likely to span across traditional disciplines.

Author : Klaus Hulek
Publisher : Cambridge University Press
Page : 500 pages
File Size : 49,5 Mb
Release : 1999-05-13
Category : Mathematics
ISBN : 0521646596

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New Trends in Algebraic Geometry by Klaus Hulek Pdf

This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing 17 survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A,D,E classification, centred around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric foundations to mirror symmetry; and two deep, informative surveys by Siebert and Behrend on Gromow-Witten invariants treating them from the point of view of algebraic and symplectic geometry. The remaining articles cover a wide cross-section of the most significant research topics in algebraic geometry. This includes Gromow-Witten invariants, Hodge theory, Calabi-Yau 3-folds, mirror symmetry and classification of varieties.

Author : Selman Akbulut
Publisher : American Mathematical Soc.
Page : 172 pages
File Size : 55,9 Mb
Release : 1995
Category : Mathematics
ISBN : 0821855190

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Real Algebraic Geometry and Topology by Selman Akbulut Pdf

This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.

Author : Solomon Lefschetz
Publisher : American Mathematical Soc.
Page : 428 pages
File Size : 53,9 Mb
Release : 1930-12-31
Category : Mathematics
ISBN : 9780821846032

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Topology by Solomon Lefschetz Pdf

Lefschetz's Topology was written in the period in between the beginning of topology, by Poincare, and the establishment of algebraic topology as a well-formed subject, separate from point-set or geometric topology. At this time, Lefschetz had already proved his first fixed-point theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of algebraic varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory.

Author : Lucia Caporaso
Publisher : Cambridge University Press
Page : 437 pages
File Size : 51,7 Mb
Release : 2012-03-19
Category : Mathematics
ISBN : 9780521768252

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Current Developments in Algebraic Geometry by Lucia Caporaso Pdf

This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.

Author : Bruno Benedetti,Emanuele Delucchi,Luca Moci
Publisher : Springer
Page : 227 pages
File Size : 40,6 Mb
Release : 2015-10-31
Category : Mathematics
ISBN : 9783319201559

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Combinatorial Methods in Topology and Algebra by Bruno Benedetti,Emanuele Delucchi,Luca Moci Pdf

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.

Author : J. P. May
Publisher : University of Chicago Press
Page : 262 pages
File Size : 50,6 Mb
Release : 1999-09
Category : Mathematics
ISBN : 0226511839

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A Concise Course in Algebraic Topology by J. P. May Pdf

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.