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“The highest achievers share some of their lowest moments, and there is much wisdom to be gained from those struggles. Captivating, thought-provoking.” —David Faber, CNBC The path to success is rarely easy or direct, and good mentors are hard to find. In Getting There, thirty leaders in diverse fields share their secrets to navigating the rocky road to the top. In an honest, direct, and engaging way, these role models describe the obstacles they faced, the setbacks they endured, and the vital lessons they learned. They dispense not only essential and practical career advice, but also priceless wisdom applicable to life in general. Getting There is for everyone—from students contempla...
Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.
This is a study of the architect Walter Segal (1907-1985): his intellectual biography (background, influences, thoughts, writings), his unique approach to architectural practice (and his built work) and his enduring impact on architecture and attitudes to housing across the world. It firstly sets out his formative years in continental Europe. Segal's father was an eminent modern painter, close to leading architects and artists and he grew up in a fascinating milieu, at the centre of the European avant-garde. With the rise of Hitler, this Jewish family fled, finally settling in England prior to the Second World War. The second section focuses on Walter Segal's central theme of popular housing...
This volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984, as a part of the special program on Kac-Moody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinite-dimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors ...
The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc tures of conformal field theories. Much of the recent progress has deep connec tions with complex analysis and conformal geometry. Future developments, especially constructions and studies of higher-genus theories, will need a solid geometric theory of vertex operator algebras. Back in 1986, Manin already observed in [Man) that the quantum theory of (super )strings existed (in some sense) in two entirely different mathematical fields. Under canonical quantization this...
Noncommutative differential geometry has many actual and potential applications to several domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field.
This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.
This introduction to the theory of lie groups and their representations starts from basic undergraduate maths and proceeds through the fundamentals of Lie theory to topics in representation theory, such as the Peter-Weyl theorem.
This volume covers the proceedings of an international conference held in Oxford in June 2002. In addition to articles arising from the conference, the book also contains the famous as yet unpublished article by Graeme Segal on the Definition of Conformal Field Theories. It is ideal as a view of the current state of the art and will appeal to established researchers as well as to novice graduate students.
Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.