Contemporary Trends In Algebraic Geometry And Algebraic Topology PDF Download
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| Author | : Shiing-shen Chern |
| Publisher | : World Scientific |
| Total Pages | : 276 |
| Release | : 2002-08-02 |
| Genre | : Mathematics |
| ISBN | : 9814488518 |
Download Contemporary Trends In Algebraic Geometry And Algebraic Topology Book in PDF, ePub and Kindle
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 | : Jean H Gallier |
| Publisher | : World Scientific |
| Total Pages | : 799 |
| Release | : 2022-01-19 |
| Genre | : Mathematics |
| ISBN | : 9811245045 |
Download Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry Book in PDF, ePub and Kindle
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 |
| Total Pages | : 240 |
| Release | : 2008-03-12 |
| Genre | : Mathematics |
| ISBN | : 3764385375 |
Download Algebraic Cycles, Sheaves, Shtukas, and Moduli Book in PDF, ePub and Kindle
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. |
| Total Pages | : 394 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 0821808052 |
Download Homotopy Theory via Algebraic Geometry and Group Representations Book in PDF, ePub and Kindle
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 | : Richard M. Kane |
| Publisher | : |
| Total Pages | : |
| Release | : |
| Genre | : |
| ISBN | : |
Download Current Trends in Algebraic Topology Book in PDF, ePub and Kindle
| Author | : Piotr Pragacz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 321 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 3764373423 |
Download Topics in Cohomological Studies of Algebraic Varieties Book in PDF, ePub and Kindle
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 | : Lucia Caporaso |
| Publisher | : Cambridge University Press |
| Total Pages | : 437 |
| Release | : 2012-03-19 |
| Genre | : Mathematics |
| ISBN | : 052176825X |
Download Current Developments in Algebraic Geometry Book in PDF, ePub and Kindle
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 | : Klaus Hulek |
| Publisher | : Cambridge University Press |
| Total Pages | : 500 |
| Release | : 1999-05-13 |
| Genre | : Mathematics |
| ISBN | : 9780521646598 |
Download New Trends in Algebraic Geometry Book in PDF, ePub and Kindle
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 | : Carles Broto |
| Publisher | : Birkhäuser |
| Total Pages | : 405 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034890184 |
Download Algebraic Topology: New Trends in Localization and Periodicity Book in PDF, ePub and Kindle
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 | : L. Pachter |
| Publisher | : Cambridge University Press |
| Total Pages | : 440 |
| Release | : 2005-08-22 |
| Genre | : Mathematics |
| ISBN | : 9780521857000 |
Download Algebraic Statistics for Computational Biology Book in PDF, ePub and Kindle
This book, first published in 2005, offers an introduction to the application of algebraic statistics to computational biology.
