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This book is the proceedings of the conference "Arrangements of Hyperplanes" held in August 2009 as the 2nd MSJ-SI (Mathematical Society of Japan Seasonal Institute.) The modern study of arrangements of hyperplanes started in early 1980s. Since the object to 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 world-leading experts gave talks in the 2nd MSJ-SI, 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 who is interested in arrangements of hyerplanes.

In January 2011 the international conference "Differential Geometry and Tanaka Theory - Differential System and Hypersurface Theory" was held at the Research Institute for Mathematical Sciences, Kyoto University, in honour of Reiko Miyaoka and Keizo Yamaguchi. This volume is dedicated to the two professors.

Contains the proceedings of the International Conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005. This title includes several survey articles on probabilistic number theory and research papers on various topics around the border area between probability theory and number theory.

Contains surveys and original articles based on the talks given at the 40th Finsler Symposium on Finsler Geometry, held on September 9-10, 2005 at Hokkaido Tokai University, Sapporo, Japan. This volume includes papers that contain fundamental topics of modern Riemann-Finsler geometry, suitable for specialists in Finsler geometry.

Consists of the proceedings of the 14th MSJ International Research Institute 'Asymptotic Analysis and Singularity', which was held at Sendai, Japan in July 2005. This title contains survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.

Collects eight plenary lectures and twenty-five selected contributions from invited and contributed lectures delivered at the International Workshop on Potential Theory 2004. The workshop was held at Shimane University, Matsue, Japan, from August 23 to 28, 2004. The topic of the workshop was potential theory and its related fields.

Contains the proceedings of MSJ SI 2015 and consists of 14 papers related to computer algebra, algebraic statistics, D-modules, convex polytopes, and toric ideals. These papers enable readers to explore current trends in Grobner bases. Young researchers will find a treasury of fascinating research problems which are pending.

This volume is the proceedings of the workshop on 'Algebraic Varieties and Automorphism Groups' which was held at RIMS, Kyoto University during July 7-11, 2014.The volume consists of fifteen original research articles by specialists in fast developing areas of algebraic geometry including various aspects of algebraic varieties (singularities, toric surfaces, weak positivity of log canonical pairs, Fano threefolds with cylinders, etc.), algebraic group actions on algebraic varieties (actions of additive group, unipotent group, semi-abelian variety, etc.), automorphism groups of affine varieties and Cremona groups.Highly recommended to researchers and graduate students interested in research trends in affine and projective algebraic geometry and algebraic group actions.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

This volume is an outcome of the conference 'Geometry and Foliations 2013' held in Tokyo in September 2013 and associated meetings, aimed for providing a good overview of the present studies as well as some perspective for further studies.The aspects and quality of the volume is represented by B Deroin's survey on Brownian motions on foliated complex surfaces which contains many essential results and ideas.Other articles cover wide topics of foliations and groups of diffeomorphisms old and new; some discuss characteristic classes such as Godbillon-Vey class or homotopy theory of foliations while others deal with topological and differential geometrical aspects, particularly in the holomorphic setting.Also, several articles shows relationship to the geometric group theory.Highly recommended to researchers and graduate students who are interested in and going to study the theories of foliations and related topics such as diffeomorphism groups, geometric group theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Contains the proceedings of the 5th MSJ Seasonal Institute on Schubert Calculus, held September 2012. It is recommended for researchers and graduate students interested in Schubert calculus and its many connections and applications to related areas of mathematics, such as geometric representation theory, combinatorial aspects of algebraic varieties arising in Lie theory, and equivariant topology.

Contains the proceedings of the 6th Mathematical Society of Japan Seasonal Institute Development of Moduli Theory, which was held as the Seasonal Institute 2013, with support from the Mathematical Society of Japan and the 2013 Research Project of the Research Institute of Mathematical Science, Kyoto University. This volume consists of five survey articles and eight research articles.

Topics treated in this volume cover a wide range, including topology and geometry of real singularities, singularities of holomorphic map-germs, singularities of complex algebraic sets, algorithms of the computer algebra "SINGULAR", singularities of maps and characteristic classes, and limit cycles of systems of ordinary differential equations.

This volume consists of eight original survey papers written by invited lecturers in connection with a conference "Variational Methods for Evolving Objects". The topics of papers vary widely from problems in image processing to dynamics of topological defects, and all involve some nonlinear phenomena of current major research interests.

Contains original and survey papers on Singularities in Geometry and Topology, which resulted from the Sixth Franco-Japanese Symposium on Singularities, held in Fukuoka. This volume consists of two survey articles and 12 research articles whose topics include algebraic curves and varieties, line arrangements, mixed polynomials, algebraic local cohomology classes, stable maps, and mirror symmetry.

Algebraic geometry is a traditional and fast-developing research area in East Asia. There are many world-leading algebraic geometers, and an increasing number of active mathematicians in related areas. This volume contains the proceedings of the conference on Algebraic Geometry in East Asia. It showcases the latest advances in algebraic geometry research in East Asia.

Consists of the proceedings of the 12th International Research Institute of the Mathematical Society of Japan, held during 2003. This title features papers that cover several important topics in singularity theory, including survey on motivic integrations, Thom polynomials, complex analytic singularity theory, and generic differential geometry.

A collection of papers from a conference which explored recent developments and interactions in mathematical fields, such as algebraic geometry, integrable systems, Gromov-Witten theory and symplectic geometry and in particular, the developments and interactions coming from ideas in mirror symmetry.

Examines the interactions between geometry and probability theory, and pursues new directions in these research areas. This volume contains the proceedings of a Probabilistic Approach to Geometry conference held in Japan, selected research articles based on the talks, including survey articles on random groups, rough paths, and heat kernels by the survey lecturers at the conference.

Presents fifteen research papers on various recent topics about multiple zeta-func tions, which include not only multivariate cases but also single-variable cases, additive and multiplicative number theory, as well as poly-Bernoulli numbers and polynomials.

The conference "Algebraic and Arithmetic Structures of Moduli Spaces" was held in September 2007, at Sapporo (Hokkaido University). Twenty talks were delivered by invited speakers on arithmetic geometry, algebraic geometry and complex geometry. This volume is the proceedings of the conference, to be exact, a collection of eleven papers contributed by some of the speakers which have undergone rigorous refereeing. The topics that are discussed in the articles are diverse in nature such as class field theory, zeta functions, moduli of arithmetic vector bundles, moduli of complex vector bundles, moduli of abelian varieties and theory of display, moduli of Fermat varieties and some topics on cubic threefolds. Among others, the papers of Pappas-Rapoport, Rajan and Weng address many new interesting questions in the related fields, which seem to be worthy of reading for young researchers.

This volume constitutes the Proceedings of the Fourth Franco Japanese Symposium on Singularities held at Toyama in August 2007 and also the Workshop on Singularities held at Niigata prior to this Symposium. Recently the research on singularities is widely expanding and is now applied in various areas in Mathematics and other sciences. Experts of singularities from many different fields are contributing their articles, mostly on original results and some surveys. The reader will benefit of knowing the vividly developing domains and will be inspired by many different approaches to singularities.

The two symposia, the Hayashibara Forum and the MSJ/IHES Joint Workshop, were held at the Institute des Hautes Etudes Scientifiques (IHES) in November 2006. This volume contains papers presented at the symposia in the form of invited lectures and contributed talks by young researchers.

Contains the proceedings of the conference 'Algebraic Analysis and Around', in honor of Professor Masaki Kashiwara's 60th birthday. The conference was held in Kyoto in June 2007.

ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute. This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006).

Consists of selected papers on the trends and results in the study of various groups of diffeomorphisms, including mapping class groups, from the point of view of algebraic and differential topology, as well as dynamical ones involving foliations and simplistic or contact diffeomorphisms.

Contains two survey articles and eight research articles contributed by the invited lecturers at the conference 'Algebraic Geometry in East Asia. II', which was held at the Conference Hall (Hanoi, Vietnam) from October 10-14, 2005. This volume covers topics such as Zariski pairs, rational homogeneous manifolds, Kummer surfaces, and Cremona groups.

Consists of the proceedings of the 14th MSJ International Research Institute 'Asymptotic Analysis and Singularity', which was held at Sendai, Japan in July 2005. This title includes survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.

Constitutes the proceedings of the Third Franco-Japanese Symposium on Singularities in Geometry and Topology, held in Sapporo in September 2004. This title contains not only research papers on the advanced topics in the field but also some survey articles, which give a broad scope of some areas of the subject.