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Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures'' in modern arithmetic geometry involving the arithmetic behaviour of motives over p-adic Lie extensions of number fields. These main conjectures are concerned with what one might loosely call the exact formulae of number theory which conjecturally link the special values of zeta and L-functions to purely arithmetic expressions (the most celebrated example being the conjecture of Birch and Swinnerton-Dyer for elliptic curves). Written by two leading workers in the field, this short and elegant book presents in full detail the simplest proof of the "main conjecture'' for cyclotomic fields . Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions. The masterly exposition is intended to be accessible to both graduate students and non-experts in Iwasawa theory.

Algebraic fields. --- Cyclotomy. --- Functions, Zeta. --- Equations, Cyclotomic --- Number theory --- Equations, Abelian --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Zeta functions --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra

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This volume of invited works collects the most recent research and developments in quadratic forms, linear algebraic groups, and cohomology; topics that are each at the intersection of algebra, number theory and algebraic geometry. The contributions to this volume are the work of renowned experts and present new results related to the research of Raman Parimala, to whom this collection is dedicated. Some specific topics presented in this volume include, Iwasawa theory, Witt groups and sheafs, Chow motives, quaternion algebras, p-adic curves, and progress on the Kato conjecture as well as topics of recent interest such as field patching and a proof of the Serre's Conjecture II for function fields of complex surfaces. This volume is intended for researchers and graduate students specializing in algebra, number theory, and algebraic geometry and may be suitable for supplementary use in an advanced graduate course.

Number theory --- Category theory. Homological algebra --- Algebra --- Geometry --- algebra --- landmeetkunde --- wiskunde --- getallenleer

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"Change can take place in various forms, gradual or abrupt, incremental or transformational. It is a requirement in modern day society that everyone, whether at individual or organisational level, understands the softer nuances of this concept and prepares for it. During scenarios of change interventions, the role of human resources (HR) becomes highly crucial, even as the perception towards it becomes ambivalent. This volume delivers a holistic view on the role of HR in organisational change. It is built on the various theoretical models of change and provides a dramatic sequence of issues in change management to gain a big picture thinking for HR managers and weaves through why, how and what perspectives to change management. Human Resources Management for Organisational Change offers a comprehensive coverage of the changing role of HR as it relates to organisational change theories and models, strategy, changing business environment and implications, organisational culture, leadership, resistance management, and high performance work practices (HPWP) to support change management and cost of no-changers. It is unique in that it covers the entire gamut of organisational change as well as HR. It will be of value to researchers, academics, professionals, and students interested in learning more about how organisational change can improve productivity and human satisfaction as well as the systematic approach to managing organisational change"--

Personnel management.

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"With the increased pace of global, economical, and technological development, change has become an inevitable feature of any organisation to survive in the competitive market. If it is a planned change process, the HR practitioner can use any of the existing general models or theories of change and use suggestive interventions to increase effectiveness and capability to change itself. When the magnitude of change is unpredictable, or the degree of the organisational process or systems are unorganised, the existing models or practice of planned change are still in formative stage and there is room for continuous refinement and improvement. This book will bridge this gap in the current organisational development and change literature by benefiting the HR practitioner with six real case studies. The cases bring out the interventions adopted, key activities associated for the successful implementation of interventions and the critical role played by HR in achieving organisational effectiveness. The book captures the transformational journey of diverse set of companies and weaves various dimensions into a common coherent framework for the field of HRM in Change Management. The case studies illustrate six powerful organisational experiences, listing the major activities contributing to effective change management from motivating change, vision, support from key stakeholders, transition management to organisational and HR commitment for implementation. By demonstrating the role of HR as a 'change agent,' this volume will be valuable to researchers, academics, managers, and students in the fields of human resource management and change management"--

Human capital. --- Personnel management. --- Organizational change.