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This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It shows through striking examples how one can use these apparently intractable systems of equations to obtain satisfying insights into the geometry and arithmetic of these varieties. It also introduces the reader to some aspects of the research of the first author into representation theory and invariant theory and their applications to these geometrical questions.
Visioning Technologies brings together a collection of texts from leading theorists to examine how architecture has been, and is, reframed and restructured by the visual and theoretical frameworks introduced by different ‘technologies of sight’ – understood to include orthographic projection, perspective drawing, telescopic devices, photography, film and computer visualization, amongst others. Each chapter deals with its own area and historical period of expertise, organized sequentially to mark out and analyse the historical evolution of how architecture has been transformed by technologically induced shifts in human perception from the 15th century until today. This book underlines the way in which architectural forms and design processes have developed historically in conjunction with the systems of sight we manufacture technologically and suggests this continues today. Paradoxically, it is premised on the argument that these technological systems tend, in their initial formulations, to obtain ever greater realism in our visualizations of the physical world.
The purpose of this book is to build the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for research on arithmetic geometry in several directions. By adelic curve is meant a field equipped with a family of absolute values parametrized by a measure space, such that the logarithmic absolute value of each non-zero element of the field is an integrable function on the measure space. In the literature, such construction has been discussed in various settings which are apparently transversal to each other. The authors first formalize the notion of adelic curves and discuss in a systematic way its algebraic covers, which are important in the study of heig...
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
Brief biographies of 259 Indian scientists and engineers who have won the Shanti Swarup Bhatnagar prize for their contributions to science and technology.
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high ...
First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.
Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account...
This is an autobiography that traces the life of a transformational leader, as narrated by him. It alternates between his personal life and his professional life, his aspirations and his accomplishments as a scientist, as an industry captain and as a communicator. Above all, the book is about people and what makes them what they are. It details how his concept of reducing “the distance between minds” helped synergise twenty-six thousand employees of one of the largest industrial enterprises in India, leading to its regeneration and sustainability. The narration is full of subtle elements which will be motivational to many, especially the young.