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Around 1980, Shigefumi Mori initiated a new theory, which is now known as the minimal model program or Mori theory, for higher-dimensional algebraic varieties.

This book is a self-contained exposition on the Bohr Jessen limit theorem. This limit theorem, which is concerned with the behavior of the Riemann zeta function (s) on the line Re s =, where 1/2

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.

Contains the proceedings of the conference "Primitive Forms and Related Subjects", held at the Kavli Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, February 2014. This volume volume contains two survey articles and 11 research articles based on the conference presentations.

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 workshop "Singularities in Generic Geometry and Applications-Kobe-Kyoto 2015 (Valencia IV)", held in June 2015. The volume consists of fifteen original research articles and three survey articles by specialists in singularity theory and its applications to differential topology and differential geometry.

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.

Contains 15 papers covering a variety of topics in the research fields where Masatoshi Noumi has made significant contributions over the years - representation theory, special functions, Painleve equations, among others.

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.

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.

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.

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.

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.

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.

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.

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.

Includes articles that provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but branching out in various directions.

With developments in semiconductor technology, several mathematical models have been established to analyze and to simulate the behavior of electron flow in semiconductor devices. This title provides a study of mathematical research on semiconductor equations.

Although the Monte Carlo method is used in so many fields, its mathematical foundation has been weak until now because of the fundamental problem that a computer cannot generate random numbers. This book presents a strong mathematical formulation of the Monte Carlo method which is based on the theory of random number by Kolmogorov and others and that of pseudorandom number by Blum and others. As a result, we see that the Monte Carlo method may not need random numbers and pseudorandom numbers may suffice. In particular, for the Monte Carlo integration, there exist pseudorandom numbers which serve as complete substitutes for random numbers.