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Book Mixed Motives

    Book Details:
  • Author : Marc Levine
  • Publisher : American Mathematical Soc.
  • Release : 1998
  • ISBN : 0821807854
  • Pages : 529 pages

Download or read book Mixed Motives written by Marc Levine and published by American Mathematical Soc.. This book was released on 1998 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry. The author constructs and describes a triangulated category of mixed motives over an arbitrary base scheme. Most of the classical constructions of cohomology are described in the motivic setting, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology, Borel-Moore homology and cohomology with compact supports.

Book Triangulated Categories of Mixed Motives

Download or read book Triangulated Categories of Mixed Motives written by Denis-Charles Cisinski and published by Springer Nature. This book was released on 2019-11-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories of A1-homotopy and motivic complexes. Historically, this book is the first to give a complete construction of a triangulated category of mixed motives with rational coefficients satisfying the full Grothendieck six functors formalism as well as fulfilling Beilinson’s program, in particular the interpretation of rational higher Chow groups as extension groups. Apart from Voevodsky’s entire work and Grothendieck’s SGA4, our main sources are Gabber’s work on étale cohomology and Ayoub’s solution to Voevodsky’s cross functors theory. We also thoroughly develop the theory of motivic complexes with integral coefficients over general bases, along the lines of Suslin and Voevodsky. Besides this achievement, this volume provides a complete toolkit for the study of systems of coefficients satisfying Grothendieck’ six functors formalism, including Grothendieck-Verdier duality. It gives a systematic account of cohomological descent theory with an emphasis on h-descent. It formalizes morphisms of coefficient systems with a view towards realization functors and comparison results. The latter allows to understand the polymorphic nature of rational mixed motives. They can be characterized by one of the following properties: existence of transfers, universality of rational algebraic K-theory, h-descent, étale descent, orientation theory. This monograph is a longstanding research work of the two authors. The first three parts are written in a self-contained manner and could be accessible to graduate students with a background in algebraic geometry and homotopy theory. It is designed to be a reference work and could also be useful outside motivic homotopy theory. The last part, containing the most innovative results, assumes some knowledge of motivic homotopy theory, although precise statements and references are given.

Book Mixed Motives and Algebraic K Theory

Download or read book Mixed Motives and Algebraic K Theory written by Uwe Jannsen and published by Springer. This book was released on 2006-11-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties.

Book Mixed Motives and their Realization in Derived Categories

Download or read book Mixed Motives and their Realization in Derived Categories written by Annette Huber and published by Springer. This book was released on 2006-11-17 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. This includes a review of several known cohomology theories. A new absolute cohomology is introduced and studied. The book assumes knowledge of the standard cohomological techniques in algebraic geometry as well as K-theory. So the monograph is primarily intended for researchers. Advanced graduate students can use it as a guide to the literature.

Book Stateowned Enterprises In A Mixed Economy

Download or read book Stateowned Enterprises In A Mixed Economy written by Mehdi Haririan and published by Routledge. This book was released on 2019-09-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: A distinctive feature of economic trends of the past three decades has been the increase in microeconomic intervention by state-owned enterprises (SOEs) in the market economies of rich industrial and poor developing nations. The majority of SOEs were established as policy instruments of choice in response to a variety of socioeconomic needs and socio-political problems. As persuasively demonstrated in this book, microeconomic efficiency criteria alone, stemming from the theory of a perfectly competitive economy, are badly designed criteria for public firms. The historical part of the book, in particular, discusses quite compellingly a number of causes other than market failures for the existence of state-owned enterprises. This discussion develops complex answers regarding causes for the existence of public firms.

Book Feynman Motives

    Book Details:
  • Author : Matilde Marcolli
  • Publisher : World Scientific
  • Release : 2010
  • ISBN : 9814271209
  • Pages : 234 pages

Download or read book Feynman Motives written by Matilde Marcolli and published by World Scientific. This book was released on 2010 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods. The main question is whether residues of Feynman integrals always evaluate to periods of mixed Tate motives, as appears to be the case from extensive computations of Feynman integrals carried out by Broadhurst and Kreimer. Two different approaches to the subject are described. The first, a "bottom-up" approach, constructs explicit algebraic varieties and periods from Feynman graphs and parametric Feynman integrals. This approach grew out of work of Bloch–Esnault–Kreimer and suggests that, while the algebraic varieties associated to the Feynman graphs can be arbitrarily complicated as motives, the part that is involved in the Feynman integral computation might still be of the special mixed Tate kind. A second, "top-down" approach to the problem, developed in the work of Connes and the author, consists of comparing a Tannakian category constructed out of the data of renormalization with those formed by mixed Tate motives. The book draws connections between these two approaches and gives an overview of various ongoing directions of research in the field. The text is aimed at researchers in mathematical physics, high energy physics, number theory and algebraic geometry. Based on lecture notes for a graduate course given by the author at Caltech in the fall of 2008, it cal also be used by graduate students interested in working in this area.

Book Noncommutative Geometry  Quantum Fields and Motives

Download or read book Noncommutative Geometry Quantum Fields and Motives written by Alain Connes and published by American Mathematical Soc.. This book was released on 2019-03-13 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. The first part of the book deals with quantum field theory and the geometric structure of renormalization as a Riemann-Hilbert correspondence. It also presents a model of elementary particle physics based on noncommutative geometry. The main result is a complete derivation of the full Standard Model Lagrangian from a very simple mathematical input. Other topics covered in the first part of the book are a noncommutative geometry model of dimensional regularization and its role in anomaly computations, and a brief introduction to motives and their conjectural relation to quantum field theory. The second part of the book gives an interpretation of the Weil explicit formula as a trace formula and a spectral realization of the zeros of the Riemann zeta function. This is based on the noncommutative geometry of the adèle class space, which is also described as the space of commensurability classes of Q-lattices, and is dual to a noncommutative motive (endomotive) whose cyclic homology provides a general setting for spectral realizations of zeros of L-functions. The quantum statistical mechanics of the space of Q-lattices, in one and two dimensions, exhibits spontaneous symmetry breaking. In the low-temperature regime, the equilibrium states of the corresponding systems are related to points of classical moduli spaces and the symmetries to the class field theory of the field of rational numbers and of imaginary quadratic fields, as well as to the automorphisms of the field of modular functions. The book ends with a set of analogies between the noncommutative geometries underlying the mathematical formulation of the Standard Model minimally coupled to gravity and the moduli spaces of Q-lattices used in the study of the zeta function.

Book Purity Lost

    Book Details:
  • Author : Steven Epstein
  • Publisher : JHU Press
  • Release : 2007
  • ISBN : 0801884845
  • Pages : 265 pages

Download or read book Purity Lost written by Steven Epstein and published by JHU Press. This book was released on 2007 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description

Book State owned Enterprises In A Mixed Economy

Download or read book State owned Enterprises In A Mixed Economy written by Mehdi Haririan and published by Routledge. This book was released on 2019-09-05 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A distinctive feature of economic trends of the past three decades has been the increase in microeconomic intervention by state-owned enterprises (SOEs) in the market economies of rich industrial and poor developing nations. The majority of SOEs were established as policy instruments of choice in response to a variety of socioeconomic needs and socio-political problems. As persuasively demonstrated in this book, microeconomic efficiency criteria alone, stemming from the theory of a perfectly competitive economy, are badly designed criteria for public firms. The historical part of the book, in particular, discusses quite compellingly a number of causes other than market failures for the existence of state-owned enterprises. This discussion develops complex answers regarding causes for the existence of public firms.

Book The Shariyat Ki Sugmad  Books One   Two  3rd Edition

Download or read book The Shariyat Ki Sugmad Books One Two 3rd Edition written by Paul Twitchell and published by ECKANKAR. This book was released on 2023-10-19 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The scriptures of the Shariyat-Ki-Sugmad can be spoken and written on the lower planes. But in the higher worlds it is only the heavenly white music.” —The Shariyat-Ki-Sugmad The Shariyat-Ki-Sugmad means “Way of the Eternal.” These writings are the sacred scriptures of Eckankar, the Path of Spiritual Freedom. Only a small part of the whole Shariyat can be, or ever has been, put into the printed word. Most of it comes straight into the individual during the Spiritual Exercises of ECK as the Living Word, the Light and Sound of God. Spiritual students can also study these wondrous scriptures in Temples of Golden Wisdom on the inner planes, in the dream state or via Soul Travel. The guidance of the Mahanta, the Inner Master, is key to any true understanding of the Shariyat-Ki-Sugmad. He awaits your invitation.

Book Periods and Nori Motives

Download or read book Periods and Nori Motives written by Annette Huber and published by Springer. This book was released on 2017-03-08 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties. Period numbers are central to number theory and algebraic geometry, and also play an important role in other fields such as mathematical physics. There are long-standing conjectures about their transcendence properties, best understood in the language of cohomology of algebraic varieties or, more generally, motives. Readers of this book will discover that Nori’s unconditional construction of an abelian category of motives (over fields embeddable into the complex numbers) is particularly well suited for this purpose. Notably, Kontsevich's formal period algebra represents a torsor under the motivic Galois group in Nori's sense, and the period conjecture of Kontsevich and Zagier can be recast in this setting. Periods and Nori Motives is highly informative and will appeal to graduate students interested in algebraic geometry and number theory as well as researchers working in related fields. Containing relevant background material on topics such as singular cohomology, algebraic de Rham cohomology, diagram categories and rigid tensor categories, as well as many interesting examples, the overall presentation of this book is self-contained.

Book Making Work

    Book Details:
  • Author : W. Ronco
  • Publisher : Springer Science & Business Media
  • Release : 2013-11-21
  • ISBN : 146844445X
  • Pages : 219 pages

Download or read book Making Work written by W. Ronco and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book began as an exploration of collaborative work orga nizations. We knew about people in various occupations who had gotten together to form organizations of equals to man age the settings within which they did their work. Among these organizations were a teacher-controlled public school, a fishermen's cooperative, a potters' studio, a public-interest advocacy group, and an architectural firm. We wondered how these groups functioned, and whether and how they contributed to making work satisfying for the individuals in them. These groups were, of course, pretty small potatoes, but it seemed to us that they provided a way to an understanding of some much larger current issues. Worker satisfaction has surfaced as an issue of current concern and has been repre sented in research documenting the growing expectations that the members of our society have of their work experi ence. More workers are more educated now than ever before, and more and more people seem to look to work as a personal outlet, rather than just a source of income. We saw our small, egalitarian work organizations as providing settings in which people were especially likely to v vi PREFACE find work satisfying. We wanted to know both the organiza tional conditions for satisfying work and the conditions un der which collaborative work organizations could keep func tioning. Since the sociological literature on work satisfaction tends to revolve around issues of autonomy and control, we sought out settings in which workers had maximized autono my and control.

Book Routledge International Handbook of Theoretical and Philosophical Psychology

Download or read book Routledge International Handbook of Theoretical and Philosophical Psychology written by Brent D. Slife and published by Routledge. This book was released on 2021-12-28 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: Routledge International Handbook of Theoretical and Philosophical Psychology is a compilation of works by leading scholars in theoretical and philosophical psychology that offers critical analyses of, and alternatives to, current theories and philosophies typically taken for granted in mainstream psychology. Within their chapters, the expert authors briefly describe accepted theories and philosophies before explaining their problems and exploring fresh, new ideas for practice and research. These alternative ideas offer thought-provoking ways of reinterpreting many aspects of human existence often studied by psychologists. Organized into five sections, the volume covers the discipline of psychology in general, various subdisciplines (e.g., positive psychology and human development), concepts of self and identity as well as research and practice. Together the chapters present a set of alternative ideas that have the potential to take the field of psychology in fruitful directions not anticipated in more traditional theory and research. This handbook will be a valuable resource for students and scholars of the theory, assumptions, and history of psychology.

Book Handbook of Public Relations

Download or read book Handbook of Public Relations written by Robert L. Heath and published by SAGE. This book was released on 2001 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive and detailed examination of the field, which reviews current scholarly literature. This contributed volume stresses the role PR plays in building relationships between organizations, markets, audiences and the public.

Book Lectures on the Theory of Pure Motives

Download or read book Lectures on the Theory of Pure Motives written by Jacob P. Murre and published by American Mathematical Soc.. This book was released on 2013-04-11 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties. The theory of pure motives is well established as far as the construction is concerned. Pure motives are expected to h

Book Cobbett s Political Register

Download or read book Cobbett s Political Register written by William Cobbett and published by . This book was released on 1809 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Cobbett s Weekly Political Register

Download or read book Cobbett s Weekly Political Register written by and published by . This book was released on 1809 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: