Algebraic Cycles And Related Topics

Algebraic Cycles And Related Topics PDF Author: Fumio Hazama
Publisher: World Scientific
ISBN: 9814549703
Category :
Languages : en
Pages : 114

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Book Description
This book presents the results of Cleverbio, a project funded by the European Commission. The project examined the process of growth and development of clusters in the biotech industry, identifying and studying the main driving forces. The empirical work involved in-depth analysis of five clusters at different stages of development: Cambridge, the most important cluster in Europe; Heidelberg, one of the strongest in Germany; Aarhus in Denmark; Marseille in France; and Milano in Italy at an early stage of development. Other clusters were also analysed, such as Paris-Evry (France), Uppsala (Sweden), Biovalley (Switzerland), Bay Area and San Diego (US).The ultimate aim of Cleverbio has been to build a normative model that incorporates:• the preconditions for a cluster to grow (scientific base and/or industrial base, innovative financing, etc.);• the driving forces for cluster growth and development, i.e. the key factors of development (new company creation, IP rules, acceptance of biotech products, services and infrastructures, etc.);• best practices in cluster management (barrier removal, network creation, marketing, technology transfer, etc.).The book also identifies different forms of cluster creation. In some cases clusters were born and grew spontaneously as a consequence of the original co-presence of the key success factors (spontaneous clusters); in other cases they were born of the actions of public actors (industry restructuring and industry development policies). Finally, in a few cases, the process of clustering started as a result of a combination of different original conditions (hybrid clusters)./a

Algebraic Cycles And Related Topics

Algebraic Cycles And Related Topics PDF Author: Fumio Hazama
Publisher: World Scientific
ISBN: 9814549703
Category :
Languages : en
Pages : 114

Get Book Here

Book Description
This book presents the results of Cleverbio, a project funded by the European Commission. The project examined the process of growth and development of clusters in the biotech industry, identifying and studying the main driving forces. The empirical work involved in-depth analysis of five clusters at different stages of development: Cambridge, the most important cluster in Europe; Heidelberg, one of the strongest in Germany; Aarhus in Denmark; Marseille in France; and Milano in Italy at an early stage of development. Other clusters were also analysed, such as Paris-Evry (France), Uppsala (Sweden), Biovalley (Switzerland), Bay Area and San Diego (US).The ultimate aim of Cleverbio has been to build a normative model that incorporates:• the preconditions for a cluster to grow (scientific base and/or industrial base, innovative financing, etc.);• the driving forces for cluster growth and development, i.e. the key factors of development (new company creation, IP rules, acceptance of biotech products, services and infrastructures, etc.);• best practices in cluster management (barrier removal, network creation, marketing, technology transfer, etc.).The book also identifies different forms of cluster creation. In some cases clusters were born and grew spontaneously as a consequence of the original co-presence of the key success factors (spontaneous clusters); in other cases they were born of the actions of public actors (industry restructuring and industry development policies). Finally, in a few cases, the process of clustering started as a result of a combination of different original conditions (hybrid clusters)./a

Group Cohomology and Algebraic Cycles

Group Cohomology and Algebraic Cycles PDF Author: Burt Totaro
Publisher: Cambridge University Press
ISBN: 1107015774
Category : Mathematics
Languages : en
Pages : 245

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Book Description
This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

Lectures on Algebraic Cycles

Lectures on Algebraic Cycles PDF Author: Spencer Bloch
Publisher: Cambridge University Press
ISBN: 1139487825
Category : Mathematics
Languages : en
Pages : 155

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Book Description
Spencer Bloch's 1979 Duke lectures, a milestone in modern mathematics, have been out of print almost since their first publication in 1980, yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic cycles and motives. This edition, now professionally typeset, has a new preface by the author giving his perspective on developments in the field over the past 30 years. The theory of algebraic cycles encompasses such central problems in mathematics as the Hodge conjecture and the Bloch–Kato conjecture on special values of zeta functions. The book begins with Mumford's example showing that the Chow group of zero-cycles on an algebraic variety can be infinite-dimensional, and explains how Hodge theory and algebraic K-theory give new insights into this and other phenomena.

Algebraic Cycles and Hodge Theory

Algebraic Cycles and Hodge Theory PDF Author: Mark L. Green
Publisher: Springer Science & Business Media
ISBN: 9783540586920
Category : Mathematics
Languages : en
Pages : 292

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Book Description
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Algebraic Cycles and Motives: Volume 1

Algebraic Cycles and Motives: Volume 1 PDF Author: Jan Nagel
Publisher: Cambridge University Press
ISBN: 0521701740
Category : Mathematics
Languages : en
Pages : 293

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Book Description
This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

The Arithmetic and Geometry of Algebraic Cycles

The Arithmetic and Geometry of Algebraic Cycles PDF Author: B. Brent Gordon
Publisher: American Mathematical Soc.
ISBN: 0821819542
Category : Mathematics
Languages : en
Pages : 462

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Book Description
The NATO ASI/CRM Summer School at Banff offered a unique, full, and in-depth account of the topic, ranging from introductory courses by leading experts to discussions of the latest developments by all participants. The papers have been organized into three categories: cohomological methods; Chow groups and motives; and arithmetic methods.As a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to developments such as a description of Chow groups in terms of algebraic K-theory, the application of the Merkurjev-Suslin theorem to the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge, and of Tate, which compute cycles classgroups respectively in terms of Hodge theory or as the invariants of a Galois group action on étale cohomology, the conjectures of Bloch and Beilinson, which explain the zero or pole of the $L$-function of a variety and interpret the leading non-zero coefficient of its Taylor expansion at a criticalpoint, in terms of arithmetic and geometric invariant of the variety and its cycle class groups.The immense recent progress in the theory of algebraic cycles is based on its many interactions with several other areas of mathematics. This conference was the first to focus on both arithmetic and geometric aspects of algebraic cycles. It brought together leading experts to speak from their various points of view. A unique opportunity was created to explore and view the depth and the breadth of the subject. This volume presents the intriguing results.

Motives and Algebraic Cycles

Motives and Algebraic Cycles PDF Author: Rob de Jeu
Publisher: American Mathematical Soc.
ISBN: 0821844946
Category : Mathematics
Languages : en
Pages : 354

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Book Description
Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic $K$-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.

Finite Dimensional Algebras and Related Topics

Finite Dimensional Algebras and Related Topics PDF Author: V. Dlab
Publisher: Springer Science & Business Media
ISBN: 9401715564
Category : Mathematics
Languages : en
Pages : 392

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Book Description
Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance.

The Geometry of Algebraic Cycles

The Geometry of Algebraic Cycles PDF Author: Reza Akhtar
Publisher: American Mathematical Soc.
ISBN: 0821851918
Category : Mathematics
Languages : en
Pages : 202

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Book Description
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.

Topics in Cohomological Studies of Algebraic Varieties

Topics in Cohomological Studies of Algebraic Varieties PDF Author: Piotr Pragacz
Publisher: Springer Science & Business Media
ISBN: 3764373423
Category : Mathematics
Languages : en
Pages : 321

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Book Description
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