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Geometry and Complexity Theory (Cambridge Studies in Advanced Mathematics, Series Number 169) - Hardcover

Book 97 of 151: Cambridge Studies in Advanced Mathematics

Landsberg, J. M.

 
9781107199231: Geometry and Complexity Theory (Cambridge Studies in Advanced Mathematics, Series Number 169)
Hardcover
ISBN 10: 1107199239 ISBN 13: 9781107199231
Publisher: Cambridge University Press, 2017

Synopsis

Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.

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About the Author

J. M. Landsberg is Professor of Mathematics at Texas A & M University. He is a leading geometer working in complexity theory, with research interests in differential geometry, algebraic geometry, representation theory, the geometry and application of tensors, and most recently, algebraic complexity theory. The author of over sixty research articles and four books, he has given numerous intensive research courses and lectures at international conferences. He co-organized the fall 2014 semester 'Algorithms and Complexity in Algebraic Geometry' program at the Simons Institute for the Theory of Computing, University of California, Berkeley and served as the UC Berkeley Chancellor's Professor during the program.

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Publisher
Cambridge University Press
Publication date
2017
Language
English
ISBN 10 
1107199239
ISBN 13 
9781107199231
Binding
Hardcover
Edition number
1
Number of pages
350