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Book Synopsis Iterated Integrals and Cycles on Algebraic Manifolds by : Bruno Harris
Download or read book Iterated Integrals and Cycles on Algebraic Manifolds written by Bruno Harris and published by World Scientific. This book was released on 2004 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This subject has been of great interest both to topologists and tonumber theorists. The first part of this book describes some of thework of Kuo-Tsai Chen on iterated integrals and the fundamental groupof a manifold. The author attempts to make his exposition accessibleto beginning graduate students. He then proceeds to apply Chen''sconstructions to algebraic geometry, showing how this leads to someresults on algebraic cycles and the AbelOCoJacobihomomorphism. Finally, he presents a more general point of viewrelating Chen''s integrals to a generalization of the concept oflinking numbers, and ends up with a new invariant of homology classesin a projective algebraic manifold. The book is based on a coursegiven by the author at the Nankai Institute of Mathematics in the fallof 2001."
Book Synopsis Iterated Integrals and Cycles on Algebraic Manifolds by : Bruno Harris
Download or read book Iterated Integrals and Cycles on Algebraic Manifolds written by Bruno Harris and published by World Scientific. This book was released on 2004 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This subject has been of great interest both to topologists and to number theorists. The first part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make his exposition accessible to beginning graduate students. He then proceeds to apply Chen's constructions to algebraic geometry, showing how this leads to some results on algebraic cycles and the Abel-Jacobi homomorphism. Finally, he presents a more general point of view relating Chen's integrals to a generalization of the concept of linking numbers, and ends up with a new invariant of homology classes in a projective algebraic manifold. The book is based on a course given by the author at the Nankai Institute of Mathematics in the fall of 2001.
Book Synopsis The Ubiquitous Heat Kernel by : Jay Jorgenson
Download or read book The Ubiquitous Heat Kernel written by Jay Jorgenson and published by American Mathematical Soc.. This book was released on 2006 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding theirresearch and connecting with others.
Book Synopsis Contemporary Trends in Algebraic Geometry and Algebraic Topology by : Shiing-Shen Chern
Download or read book Contemporary Trends in Algebraic Geometry and Algebraic Topology written by Shiing-Shen Chern and published by World Scientific. This book was released on 2002 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Geometry of Algebraic Cycles by : Reza Akhtar
Download or read book The Geometry of Algebraic Cycles written by Reza Akhtar and published by American Mathematical Soc.. This book was released on 2010 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of algebraic cycles has its roots in the study of divisors, extending as far back as the nineteenth century. Since then, and in particular in recent years, algebraic cycles have made a significant impact on many fields of mathematics, among them number theory, algebraic geometry, and mathematical physics. The present volume contains articles on all of the above aspects of algebraic cycles. It also contains a mixture of both research papers and expository articles, so that it would be of interest to both experts and beginners in the field.
Book Synopsis Iterated Integrals and Homotopy Periods by : Richard Martin Hain
Download or read book Iterated Integrals and Homotopy Periods written by Richard Martin Hain and published by American Mathematical Soc.. This book was released on 1984 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of the various minimal algebraic models of a simply connected space that have been constructed in the last decade, possibly the least understood and the one most suitable for application in geometry is K.-T. Chen's non-commutative algebra model. In this paper we give a complete exposition of Chen's methods and extend these in two directions: we establish a rational version of Chen's theory for simply connected semisimplicial complexes, and we show that the set of primitive elements of Chen's model is a Lie algebra model of the space whose generators correspond to cells in the space that represent non trivial rational homology classes.
Book Synopsis Introduction to Vassiliev Knot Invariants by : S. Chmutov
Download or read book Introduction to Vassiliev Knot Invariants written by S. Chmutov and published by Cambridge University Press. This book was released on 2012-05-24 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed exposition of the theory with an emphasis on its combinatorial aspects.
Book Synopsis Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 26th Conference by : Luigi Accardi
Download or read book Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 26th Conference written by Luigi Accardi and published by World Scientific. This book was released on 2007-07-12 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the latest results in the fields of quantum probability and infinite dimensional analysis. The contributions range from classical probability, 'pure' functional analysis and foundations of quantum mechanics to applications in mathematical physics, quantum information theory and modern mathematical finance. This diversity illustrates that research in quantum probability and infinite dimensional analysis is very active and strongly involved in modern mathematical developments and applications.
Book Synopsis A Semicentennial History of the American Mathematical Society, 1888-1938 by : Raymond Clare Archibald
Download or read book A Semicentennial History of the American Mathematical Society, 1888-1938 written by Raymond Clare Archibald and published by American Mathematical Soc.. This book was released on 1938-12-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume outlines the history of the AMS in its first fifty years. To download free chapters of this book, click here.
Book Synopsis Inspired by S.S. Chern by : Phillip Griffiths
Download or read book Inspired by S.S. Chern written by Phillip Griffiths and published by World Scientific Publishing Company. This book was released on 2006 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.Chern's works span all the classic fields of differential geometry: the Chern-Simons theory; the Chern-Weil theory, linking curvature invariants to characteristic classes; Chern classes; and other areas such as projective differential geometry and webs that are mathematically rich but currently have a lower profile. He also published work in integral geometry, value distribution theory of holomorphic functions, and minimal submanifolds.Inspired by Chern and his work, former colleagues, students and friends -- themselves highly regarded mathematicians in their own right -- come together to honor and celebrate Chern's huge contributions. The volume, organized by Phillip Griffiths of the Institute for Advanced Study (Princeton), contains contributions by Michael Atiyah (University of Edinburgh), C-M Bai (Nankai), Robert Bryant (Duke University), Kung-Ching Chang (Peking University), Jeff Cheeger (New York University), Simon K Donaldson (Imperial College), Hélène Esnault (Universität Duisburg-Essen), Mo-Lin Ge (Nankai), Mark Green (University of California at Los Angeles), Phillip Griffiths (Institute for Advanced Study), F Reese Harvey (Rice University), Alain Hénaut (Université Bordeaux 1), Niky Kamran (McGill University), Bruce Kleiner (Yale), H Blaine Lawson, Jr (Suny at Stony Brook), Yiming Long (Nankai), Xiaonan Ma (UMR 7640 du CNRS), Luc Pirio (IRMAR, France), Graeme Segal (Oxford), Gang Tian (MIT), Jean-Marie Trepreau (Institut de Mathématiques de Jussieu), Jeff Viaclovsky (MIT), Wei Wang (Nankai), Wentsun Wu (Chinese Academy of Sciences), C N Yang (Tsinghua), Tan Zhang (Murray State University), Weiping Zhang (Nankai) and others.
Book Synopsis Biographical Memoirs by : National Academy of Sciences
Download or read book Biographical Memoirs written by National Academy of Sciences and published by National Academies Press. This book was released on 1992-02-01 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biographic Memoirs: Volume 61 contains the biographies of deceased members of the National Academy of Sciences and bibliographies of their published works. Each biographical essay was written by a member of the Academy familiar with the professional career of the deceased. For historical and bibliographical purposes, these volumes are worth returning to time and again.
Book Synopsis Feynman Integrals by : Stefan Weinzierl
Download or read book Feynman Integrals written by Stefan Weinzierl and published by Springer Nature. This book was released on 2022-06-11 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Current Developments in Mathematics by :
Download or read book Current Developments in Mathematics written by and published by . This book was released on 2002 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin of the American Mathematical Society by :
Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1982 with total page 1188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the National Academy of Sciences of the United States of America by : National Academy of Sciences (U.S.)
Download or read book Proceedings of the National Academy of Sciences of the United States of America written by National Academy of Sciences (U.S.) and published by . This book was released on 1983 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annals of Mathematics written by and published by . This book was released on 1954 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Founded in 1884, Annals of Mathematics publishes research papers in pure mathematics.
