Download or read book Lectures on Functor Homology written by Vincent Franjou and published by Birkhäuser. This book was released on 2015-12-08 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods for tackling difficult mathematical problems. In the lectures by Aurélien Djament, polynomial functors appear as coefficients in the homology of infinite families of classical groups, e.g. general linear groups or symplectic groups, and their stabilization. Djament’s theorem states that this stable homology can be computed using only the homology with trivial coefficients and the manageable functor homology. The series includes an intriguing development of Scorichenko’s unpublished results. The lectures by Wilberd van der Kallen lead to the solution of the general cohomological finite generation problem, extending Hilbert’s fourteenth problem and its solution to the context of cohomology. The focus here is on the cohomology of algebraic groups, or rational cohomology, and the coefficients are Friedlander and Suslin’s strict polynomial functors, a conceptual form of modules over the Schur algebra. Roman Mikhailov’s lectures highlight topological invariants: homoto py and homology of topological spaces, through derived functors of polynomial functors. In this regard the functor framework makes better use of naturality, allowing it to reach calculations that remain beyond the grasp of classical algebraic topology. Lastly, Antoine Touzé’s introductory course on homological algebra makes the book accessible to graduate students new to the field. The links between functor homology and the three fields mentioned above offer compelling arguments for pushing the development of the functor viewpoint. The lectures in this book will provide readers with a feel for functors, and a valuable new perspective to apply to their favourite problems.
Download or read book The Collected Mathematical Papers of Henry John Stephen Smith written by Henry John Stephen Smith and published by . This book was released on 1894 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Collected Mathematical Papers written by Arthur Cayley and published by . This book was released on 1889 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wolf Prize in Mathematics written by Shiing-Shen Chern and published by World Scientific. This book was released on 2000 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book features bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners. This is the first time that lectures by some Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in this book.
Download or read book Cyclic Homology written by Jean-Louis Loday and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry. Though conceived as a basic reference on the subject, many parts of this book are accessible to graduate students.
Download or read book commutative ring theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 1996-10-22 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.
Download or read book Topological Library written by Serge? Petrovich Novikov and published by World Scientific. This book was released on 2012 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
Download or read book Mathematical Questions and Solutions written by and published by . This book was released on 1895 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cyclic Homology Of Algebras written by Peter Seibt and published by World Scientific. This book was released on 1987-12-01 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is purely algebraic and concentrates on cyclic homology rather than on cohomology. It attempts to single out the basic algebraic facts and techniques of the theory.The book is organized in two chapters. The first chapter deals with the intimate relation of cyclic theory to ordinary Hochschild theory. The second chapter deals with cyclic homology as a typical characteristic zero theory.
Download or read book Shifting Genres in Late Antiquity written by Geoffrey Greatrex and published by Routledge. This book was released on 2016-04-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shifting Genres in Late Antiquity examines the transformations that took place in a wide range of genres, both literary and non-literary, in this dynamic period. The Christianisation of the Roman empire and the successor kingdoms had a profound impact on the evolution of Greek and Roman literature, and many aspects of this are discussed in this volume - the composition of church history, the collection of papal letters, heresiology, homiletics and apologetic. Contributors discuss authors such as John Chrysostom, Ambrose of Milan, Cassiodorus, Jerome, Liberatus of Carthage, Victor of Vita, and Epiphanius of Salamis as well as the Collectio Avellana. Secular literature too, however, underwent important changes, notably in Constantinople in the sixth century. Several chapters accordingly reassess the work of Procopius of Caesarea and literature of this period; attention is also given to the evolution of the chronicle genre. Technical writing, such as military manuals and legal texts, are the focus of other chapters; further genres considered include monody, epigraphy and epistolography. Changes in visual representation are also considered in chapters devoted to diptychs, monuments and coins. A common theme that emerges from the chapters is the flexibility and adaptability of genres in the period: late antique authors, whether orators or historians, were not slavish followers of their classical predecessors. They were capable of engaging with their models, adapting them to their own purposes, and producing work that deserves to be considered on its own merits. It is necessary to examine their texts and genres closely to grasp what they set out to do; on occasion, attention must also be paid to the transmission of these texts. The volume as a whole represents a significant contribution to the reassessment of late antique culture in general.
Download or read book Mathematical Questions and Solutions from The Educational Times with Many Papers and Solutions in Addition to Those Published in The Educational Times written by and published by . This book was released on 1895 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les Insectes written by Louis Félix Henneguy and published by . This book was released on 1904 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times written by and published by . This book was released on 1895 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Library Part 3 Spectral Sequences In Topology written by Serguei Petrovich Novikov and published by World Scientific. This book was released on 2012-07-25 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.”
Download or read book Singularities II written by Jean-Paul Brasselet and published by American Mathematical Soc.. This book was released on 2008 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is the second part of the Proceedings of the meeting "School and Workshop on the Geometry and Topology of Singularities", held in Cuemavaca, Mexico, from January 8th to 26th of 2007, in celebration of the 60th Birthday of Le Dung Trang." "This volume contains fourteen cutting-edge research articles on geometric and topological aspects of singularities of spaces and maps. By reading this volume, and the accompanying volume on algebraic and analytic aspects of singularities, the reader should gain an appreciation for the depth, breadth, and beauty of the subject, and also find a rich source of questions and problems for future study."--BOOK JACKET.
Download or read book When Form Becomes Substance written by Luciano Boi and published by Springer Nature. This book was released on 2022-11-30 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience.
Download or read book Operads Proceedings of Renaissance Conferences written by Jean-Louis Loday and published by American Mathematical Soc.. This book was released on 1997 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
