Advanced Studies in Pure Mathematics 2012; 570 pp; hardcover Volume: 62 ISBN10: 4931469671 ISBN13: 9784931469679 List Price: US$104 Member Price: US$83.20 Order Code: ASPM/62
 This book is the proceedings of the conference on Arrangements of Hyperplanes, held in August 2009 as the 2nd Mathematical Society of Japan Seasonal Institute. The modern study of arrangements of hyperplanes started in the early 1980s. Since the object of study is simple (just a finite set of hyperplanes), there are various mathematical approaches to arrangements including algebra, topology, combinatorics, singularities, integral systems, hypergeometric functions, and statistics. Since numerous worldrenowned experts gave talks at the 2nd MSJSI, this book covers many pioneering approaches and new topics in the theory of arrangements as well as indispensable classical results. The book is recommended to any researcher or graduate student interested in arrangements of hyerplanes. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in arrangements of hyperplanes. Table of Contents  K. Aomoto  Hypersphere arrangement and imaginary cycles for hypergeometric integrals
 G. Denham and M. Schulze  Complexes, duality and Chern classes of logarithmic forms along hyperplane arrangements
 A. Deza, H. Miyata, S. Moriyama, and F. Xie  Hyperplane arrangements with large average diameter: A computational approach
 D. C. Cohen, G. Denham, M. Falk, and A. Varchenko  Vanishing products of oneforms and critical points of master functions
 Y. Haraoka  Middle convolution for completely integrable systems with logarithmic singularities along hyperplane arrangements
 H. Kimura  On a problem of arrangements related to the hypergeometric integrals of confluent type
 T. Kohno  Hyperplane arrangements, local system homology and iterated integrals
 A. Libgober  On combinatorial invariance of the cohomology of the Milnor fiber of arrangements and the Catalan equation over function fields
 E. Looijenga  The KZ system via polydifferentials
 K. Mimachi  Solutions for some families of Fuchsian differential equations free from accessory parameters in terms of the integral of Euler type
 J. V. Pereira  Resonance webs of hyperplane arrangements
 F. Mori and M. Salvetti  Discrete topological methods for subspace arrangements
 H. Schenck  Hyperplane arrangements: Computations and conjectures
 A. I. Suciu  Resonance varieties and DwyerFried invariants
 H. Kamiya, A. Takemura, and N. Tokushige  Application of arrangement theory to unfolding models
 D. Tamaki  On the homology of configuration spaces associated to centers of mass
 T. Terasoma  Varieties of lines on Fermat hypersurfaces
 E. Mukhin, V. Tarasov, and A. Varchenko  Three sides of the geometric Langlands correspondence for \(gl_n\) Gaudin model and Bethe vector averaging maps
 A. K. Singh and U. Walther  A note on Bockstein homomorphisms in local cohomology
 M. Yoshinaga  Arrangements, multiderivations, and adjoint quotient map of type ADE
 S. Yuzvinsky  Resonance varieties of arrangement complements
