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Author: Edward Frenkel
Publisher: Cambridge University Press
Published: 2007-06-28
Total Pages: 5
ISBN-13: 0521854431
DOWNLOAD EBOOK →The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author: Edward Frenkel
Publisher:
Published: 2007
Total Pages: 379
ISBN-13: 9780511294204
DOWNLOAD EBOOK →Author: Edward Frenkel
Publisher:
Published: 2010-07-23
Total Pages: 379
ISBN-13: 9780521168892
DOWNLOAD EBOOK →Author: Michael Cowling
Publisher: Springer Science & Business Media
Published: 2008-02-27
Total Pages: 400
ISBN-13: 3540768912
DOWNLOAD EBOOK →Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.
Author: victor ginzburg
Publisher: Springer Science & Business Media
Published: 2007-12-31
Total Pages: 656
ISBN-13: 0817645322
DOWNLOAD EBOOK →This book represents a collection of invited papers by outstanding mathematicians in algebra, algebraic geometry, and number theory dedicated to Vladimir Drinfeld. Original research articles reflect the range of Drinfeld's work, and his profound contributions to the Langlands program, quantum groups, and mathematical physics are paid particular attention. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.
Author: Gunter Malle
Publisher: Cambridge University Press
Published: 2011-09-08
Total Pages: 324
ISBN-13: 113949953X
DOWNLOAD EBOOK →Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.
Author: Klaus Lux
Publisher: Cambridge University Press
Published: 2010-07-01
Total Pages: 471
ISBN-13: 1139489186
DOWNLOAD EBOOK →The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page.
Author: Prof. Dr. Francisco Bulnes
Publisher: Scientific Research Publishing, Inc. USA
Published: 2016-06-08
Total Pages: 195
ISBN-13: 1618961403
DOWNLOAD EBOOK →The book is divided on the studied aspects in integral geometry and that are of interest in field theory, at least, to the solution or obtaining of integrals to the field equations corresponding to the moduli stacks planted. In the chapters 1, 2, 3, 4, are exposed the generalizations of the Penrose transforms with a good D-modules theory in the derived categories context and their deformations. In the chapters 5, and 6, are exposed and discussed the different classification problems and their implications in the differential operators to the field equations. Finally, in the chapters 7, and 8 are exposed the aspects of the geometrical ramification of field ramification going behold the holomorphicity. In the end of the book are included several research exercises that can be discussed and exposed inside postgraduate courses in derived geometry or related as derived categories or categories on commutative and non-commutative rings.
Author: Tamás Szamuely
Publisher: Cambridge University Press
Published: 2009-07-16
Total Pages: 281
ISBN-13: 1139481142
DOWNLOAD EBOOK →Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck. This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups. The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality. Key applications and recent results, for example on the inverse Galois problem, are given throughout.
