Geometry and Complexity Theory (Hardcover)

J.M. Landsberg

ISBN 10: 1107199239 / ISBN 13: 9781107199231

Published by Cambridge University Press, Cambridge, 2017

About this Item

Hardcover. 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. A comprehensive introduction to algebraic geometry and representation theory written by a leading expert in the field. For graduate students and researchers in computer science and mathematics, the book demonstrates state-of-the-art techniques to solve real world problems, focusing on P vs NP and the complexity of matrix multiplication. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781107199231

Bibliographic Details

• Title: Geometry and Complexity Theory (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2017
• Language: English
• ISBN 10: 1107199239
• ISBN 13: 9781107199231
• Binding: Hardcover
• Condition: new

About this title

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.

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.