Search results for ""mathematical society of japan""

The present volume is the proceedings of the meeting 'Development of Moduli theory' which was held as the Seasonal Institute 2013 (The 6th MSJ-SI), the Mathematical Society of Japan and the 2013 Research Project of Research Institute of Mathematical Science, Kyoto University.This volume is dedicated to Professor Shigeru Mukai on the occasion of his sixtieth birthday.The volume consists of five survey articles and eight research articles given by the authors: I Dolgachev, E Looijenga, N Mestrano, C Simpson, H Nakajima, I Nakamura, V Alexeev, M Aprodu, G Farkas, A Ortega, I Ciocan-Fontanine, B Kim, B Hassett, A Kresch, Y Tschinkel, D Huybrechts, J H Keum, V Nikulin, K Yoshioka.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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The discovery of the algorithm by Bruno Buchberger on July 1965, so-called the Buchberger algorithm, to compute Gröbner bases of ideals of the polynomial ring had led the birth of the exciting research area called 'Computer Algebra' in the modern mathematics. The 8th Mathematical Society of Japan Seasonal Institute (MSJ SI 2015) entitled 'The 50th Anniversary of Gröbner Bases' was held on July 2015, which is the 50th year following the discovery of the Buchberger algorithm. This volume is the proceedings of MSJ SI 2015 and consists of 14 papers related with computer algebra, algebraic statistics, D-modules, convex polytopes and toric ideals. These papers enable the reader to look over the current trends on Gröbner bases. Especially, young researchers can reach a treasury of fascinating research problems which are pending. Foreword was contributed by Bruno Buchberger, where a secret story on the discovery of the Buchberger algorithm is stated.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is the proceedings of the 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) 'Stochastic Analysis, Random Fields and Integrable Probability,' which was held at Kyushu University in Fukuoka, Japan from July 31 to August 9, 2019.This volume consists of 18 peer-reviewed articles written by speakers who lead currently active research fields of probability theory such as stochastic analysis, integrable probability, random fields and discrete probability.The editors believe that this volume is quite useful for all researchers and students who are interested in these fruitful research fields.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is edited as the proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) 'The Role of Metrics in the Theory of Partial Differential Equations', held for the period of July 2-13, 2018 in Hokkaido University, Sapporo, Japan. This volume consists of peer-reviewed articles written by speakers who actively lead the fields of partial differential equations, numerical analysis, harmonic analysis, and geometric analysis. It should be underlined that 3 survey articles provided by course lecturers show an interesting direction of analysis under various metrics. This volume is suitable for any graduate students and young researchers to motivate the research on these fields from the viewpoint of metrics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is published in honor of the sixtieth birthdays of Professors Reiko Miyaoka and Keizo Yamaguchi, contributed by international researchers. On January 2011, the international conference 'Differential Geometry and Tanaka Theory — Differential System and Hypersurface Theory —' was held at the Research Institute for Mathematical Sciences (RIMS), Kyoto University in honor of their sixtieth birthdays. With deep admiration and respect, we dedicate the present volume to the two Professors. This volume contains one survey article and six research articles, recommended to researchers in related fields.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is the proceedings of the international conference 'Various Aspects of Multiple Zeta Functions' in honor of Professor Kohji Matsumoto's 60th birthday held at Nagoya University, Japan, during August 21 to 25, 2017.The present volume consists of 15 research papers on various recent topics about multiple zeta-functions, which include not only actually multivariate cases but also single-variable cases, additive and multiplicative number theory, and poly-Bernoulli numbers and polynomials.The editors believe that this volume represents the major part of the contributions presented in the conference, and hope that the volume is useful for all researchers and students who are interested in this fruitful research field.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This is the proceedings of the conference 'Primitive Forms and Related Subjects' held at Kavli IPMU, the University of Tokyo in February 10-14, 2014. The principal aim of the conference was to discuss the current status of rapidly developing subjects related to primitive forms. In particular, Fukaya category, Gromov-Witten and FJRW invariants, mathematical formulation of Landau-Ginzburg models, and mirror symmetry were discussed. The conference had three introductory courses by experts, and 12 lectures on more advanced topics. The present volume contains two survarticles and 11 research articles based on them. Thus the volume is recommended both to researchers who are already experts in the subjects, and also to graduate students who are interested in and want to start study the subjects.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This book collects original and survey papers on Singularities in Geometry and Topology, which resulted from the 6th Franco-Japanese Symposium on Singularities, held in Fukuoka, during September 5-10, 2011. Though singularity theory was born in the XIXth century, this field of research became more popular in France after Prof. Heisuke Hironaka came to Paris. Then, a lot of collaborations between Japanese and French mathematicians started, and the conferences on Singularities in Geometry and Topology continue to develop this collaboration between France and Japan. This volume consists of 2 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. This book is recommended to any researcher or graduate student interested in singularity theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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The two symposia, the Hayashibara Forum and the MSJ/IHÉS joint workshop, were held at the Institute des Hautes Études Scientifiques (IHÉS) in November, 2006. The Hayashibara Forum focused on singularity theory, which has been one of the research areas that has over the years been well represented at IHÉS. The MSJ/IHÉS Joint Workshop, focused on the broad area of noncommutativity, with an emphasis on noncommutative geometry as one of the fundamental themes of 21st century mathematics. This volume contains papers presented at the symposia in the form of invited lectures and contributing talks by young researchers. We believe that the scope of this volume well reflects a new development for singularity theory, and a new direction in mathematics through noncommutativity. This volume are aimed to inspire not only the specialists in these fields but also a wider audience of mathematicians.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This is the proceedings of the meeting entitled “The 12th MSJ International Research Institute of the Mathematical Society of Japan 2003”. The papers cover several important topics in Singularity theory. Especially some of them are survey on motivic integrations, Thom polynomials, complex analytic singularity theory, generic differential geometry etc.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume constitutes the proceedings of the third Franco-Japanese symposium on singularities, held in Sapporo in September 2004. It contains not only research papers on the most advanced topics in the field, but also some survey articles which give broad scopes in some areas of the subject. All the articles are carefully refereed for correctness and readability.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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In 2007, Professor Akihiro Tsuchiya of Nagoya University reached the retirement age of sixty-three. He has played a significant role in mathematical physics over the decades, most particularly in the foundation of conformal field theory, which was the first nontrivial example of a mathematically rigorous quantum field theory.This volume is the proceedings of the international conference at the occasion. Included are: Conformal field theories and related topics such as solvable statistical models, representation theory of affine algebras, monodromy preserving deformations, and string theories. Readers interested in these subjects will find exciting and stimulating insights and questions from these articles.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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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.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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This volume is the proceedings of the 5th MSJ Seasonal Institute 'Schubert Calculus' held at Osaka City University, September 17th-27th, 2012. It is recommended for all researchers and graduate students who are 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. Alain Lascoux, who is one of the pioneers of modern Schubert calculus, and a contributor of this volume, passed away during the time of editing process of the proceedings. The volume is dedicated to him.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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In the last two decades, many important developments and interactions in algebraic geometry and integrable systems have arisen from ideas in mirror symmetry. The conference “New developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry” was held at RIMS, Kyoto University on January 7-11, 2008, to explore recent developments and interactions in various mathematical fields, such as algebraic geometry, integrable systems, Gromov-Witten theory and symplectic geometry, and in particular to explore the developments and interactions coming from ideas in mirror symmetry. This volume is the outcome of that conference, and consists of twelve contributed papers by invited speakers. Readers will find, within this volume, beneficial expositions on various aspects and interesting interactions in these mathematical fields.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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The notion of stability for algebraic vector bundles on curves was originally introduced by Mumford, and moduli spaces of semi-stable vector bundles were studied intensively by Indian mathematicians. The notion of stability for algebraic sheaves was generalized to higher dimensional varieties. The study of moduli spaces of algebraic sheaves not only on curves but also on higher dimensional algebraic varieties has attracted much interest for decades and its importance has been increasing not only in algebraic geometry but also in related fields as differential geometry, mathematical physics.Masaki Maruyama is one of the pioneers in the theory of algebraic vector bundles on higher dimensional algebraic varieties. This book is a posthumous publication of his manuscript. It starts with basic concepts such as stability of sheaves, Harder-Narasimhan filtration and generalities on boundedness of sheaves. It then presents fundamental theorems on semi-stable sheaves: restriction theorems of semi-stable sheaves, boundedness of semi-stable sheaves, tensor products of semi-stable sheaves. Finally, after constructing quote-schemes, it explains the construction of the moduli space of semi-stable sheaves. The theorems are stated in a general setting and the proofs are rigorous.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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This volume provides a recent study of mathematical research on semiconductor equations. With recent developments in semiconductor technology, several mathematical models have been established to analyze and to simulate the behavior of electron flow in semiconductor devices. Among them, a hydrodynamic, an energy-transport and a drift-diffusion models are frequently used for the device simulation with the suitable choice, depending on the purpose of the device usage. Hence, it is interesting and important not only in mathematics but also in engineering to study a model hierarchy, relations among these models. The model hierarchy has been formally understood by relaxation limits letting the physical parameters, called relaxation times, tend to zero. The main concern of this volume is the mathematical justification of the relaxation limits. Precisely, we show that the time global solution for the hydrodynamic model converges to that for the energy-transport model as a momentum relaxation time tends to zero. Moreover, it is shown that the solution for the energy-transport model converges to that for the drift-diffusion model as an energy relaxation time tends to zero. For beginners' help, this volume also presents the physical background of the semiconductor devices, the derivation of the models, and the basic mathematical results such as the unique existence of time local solutions.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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This volume is the proceedings of the 14th MSJ International Research Institute “Asymptotic Analysis and Singularity”, which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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Since its birth algebraic geometry has been closely related to and deeply motivated by number theory. Particularly the modern study of moduli spaces and arithmetic geometry have many important techniques and ideas in common. With this close relation in mind, the RIMS conference Moduli Spaces and Arithmetic Geometry was held at Kyoto University during September 8-15, 2004 as the 13th International Research Institute of the Mathematical Society of Japan. This volume is the outcome of this conference and consists of thirteen papers by invited speakers, including C Soulé, A Beauville and C Faber, and participants. All papers, with two exceptions by C Voisin and Yoshinori Namikawa, treat moduli problem and/or arithmetic geometry. Algebraic curves, Abelian varieties, algebraic vector bundles, connections and D-modules are the subjects of those moduli papers. Arakelov geometry and rigid geometry are studied in arithmetic papers. In the two exceptions, integral Hodge classes on Calabi-Yau threefolds and symplectic resolutions of nilpotent orbits are studied.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is the Proceedings of the international conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005, and includes several survey articles on probabilistic number theory, and research papers on various recent topics around the border area between probability theory and number theory. This volume is useful for all researchers and graduate students who are interested in probability theory and number theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume collects, in written form, 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 23 to 28 August, 2004. The topic of the workshop was Potential Theory and its related fields. There were stimulus talks from classical potential theory to pluri-potential theory and probabilistic potential theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is the proceedings of the online conference 'McKay correspondence, Mutation and Related Topics,' which was held at Kavli Institute for the Physics and Mathematics of the Universe (IPMU) in Japan in Summer in 2020.This volume consists of 15 peer-reviewed articles written by speakers who lead currently active research fields of McKay correspondence, crepant resolution, singularities, quiver and cluster algebra.The editors believe that this volume is quite useful for all researchers and students who are interested in these fruitful research fields.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This is the proceedings of the conference 'Higher dimensional algebraic geometry — in honour of Professor Yujiro Kawamata's sixtieth birthday'. This volume consists of 20 inspiring research papers on birational algebraic geometry, minimal model program, derived algebraic geometry, classification of algebraic varieties, transcendental methods and so on, by very active top level of mathematicians all over the worlds. We believe that this volume will be useful for researchers in these area as well as those who are studying algebraic geometry.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is the proceedings of the workshop 'Singularities in Generic Geometry and Applications — Kobe-Kyoto 2015 (Valencia IV)' — which was held at Kobe University June 3-6 and RIMS, Kyoto University June 8-10, 2015.The workshop was the fourth in a sequence of biennial workshops, which had been started in Valencia (Spain, 2009).The volume consists fifteen original research articles and three survey articles by specialists in Singularity theory and its applications to Differential Topology and Differential Geometry. It is highly recommended to researchers and graduate students who are interested in these areas.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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To celebrate Professor Masatoshi Noumi's 60th Birthday, we held the international conference 'Representation Theory, Special Functions and Painlevé Equations' at the Research Institute for Mathematical Sciences, Kyoto University from March 3 to March 6 in 2015.This volume is the proceedings of the conference. It contains 15 papers covering a variety of topics in the research fields where Prof. Noumi has made many significant contributions over the years — representation theory, special functions, Painlevé equations and so on.We hope that readers interested in those subjects will find exciting and stimulating insights from excellent papers of this volume.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume grew out from the 4th MSJ-SI international conference 'NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS' held at Kyushu University, Kyushu, Japan, September 12th - 21st, 2011. It consists of more than fifty peer-reviewed articles which are survey and research papers by participants of the conference. Nonlinear partial differential equations describing nonlinear dynamics are indispensable objects in many fields including technology and social science. This book covers recent mathematical theories and techniques to analyze such nonlinear partial differential equations. The book is recommended to any researcher or graduate student who is interested in them.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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It is now well-known that the group SL2(Z[1/p]) and the system of modular curves over Fp2 are “closely related”, and that the latter provided first “examples” of curves over finite fields having many rational points. However, the “three basic relationships”, which really justify the former to be called the arithmetic fundamental group of the latter, still do not seem to be so commonly known.This book consists of two parts; a reproduction of the author's unpublished Lecture Notes (1968,69), and Author's Notes (2008). The former starts with explicit three main conjectural relationships for more general cases and gives various approaches towards their proofs. Though remained formally unpublished, these Lecture Notes had been widely circulated and have stimulated researches in various directions. The main conjectures themselves have also been proved since then. The Author's Notes (2008) gives detailed explanations of these developments, together with open problems.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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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.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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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

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This research monograph mainly discusses a canonical and explicit compactification of the moduli spaces of abelian varieties, K3 surfaces and compact hyperKähler varieties. For that, we use two theories of compactification — Satake compactifications for locally symmetric spaces in terms of the Lie theory, and Morgan-Shalen compactifications of complex varieties in terms of valuations. We show they coincide for Shimura varieties. The obtained compactifications are no longer varieties but we provide geometric meanings to them.We partially prove that the boundary parametrizes collapsed limits of the Ricci-flat Kähler metrics. Such limits also coincide with a posteriori defined 'tropicalized version' or equivalently the dual graphs of degenerations of original varieties. From differential geometric perspective, this work provides a moduli-theoretic framework for the limiting behavior of Ricci-flat Kähler metrics. From Lie theoretic perspective, this work provides a geometric meaning to the Satake compactification associated to adjoint representations, which are not the same as the Baily-Borel compactifications. Applying our theory to the case of one parameter maximal degeneration of K3 surfaces, we obtain proofs of conjectures of Gross-Wilson and Kontsevich-Soibelman.We formulate general conjectures on the limits of Ricci-flat Kähler metrics in the above framework and partially prove them, but they largely remain open.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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The study on traveling fronts in reaction-diffusion equations is the first step to understand various kinds of propagation phenomena in reaction-diffusion models in natural science. One dimensional traveling fronts have been studied from the 1970s, and multidimensional ones have been studied from around 2005. This volume is a text book for graduate students to start their studies on traveling fronts. Using the phase plane analysis, we study the existence of traveling fronts in several kinds of reaction-diffusion equations. For a nonlinear reaction term, a bistable one is a typical one. For a bistable reaction-diffusion equation, we study the existence and stability of two-dimensional V-form fronts, and we also study pyramidal traveling fronts in three or higher space dimensions. The cross section of a pyramidal traveling front forms a convex polygon. It is known that the limit of a pyramidal traveling front gives a new multidimensional traveling front. For the study the multidimensional traveling front, studying properties of pyramidal traveling fronts plays an important role. In this volume, we study the existence, uniqueness and stability of a pyramidal traveling front as clearly as possible for further studies by graduate students. For a help of their studies, we briefly explain and prove the well-posedness of reaction-diffusion equations and the Schauder estimates and the maximum principles of solutions.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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At a double characteristic point of a differential operator with real characteristics, the linearization of the Hamilton vector field of the principal symbol is called the Hamilton map and according to either the Hamilton map has non-zero real eigenvalues or not, the operator is said to be effectively hyperbolic or noneffectively hyperbolic.For noneffectively hyperbolic operators, it was proved in the late of 1970s that for the Cauchy problem to be C∞ well posed the subprincipal symbol has to be real and bounded, in modulus, by the sum of modulus of pure imaginary eigenvalues of the Hamilton map.It has been recognized that what is crucial to the C∞ well-posedness is not only the Hamilton map but also the behavior of orbits of the Hamilton flow near the double characteristic manifold and the Hamilton map itself is not enough to determine completely the behavior of orbits of the flow. Strikingly enough, if there is an orbit of the Hamilton flow which lands tangentially on the double characteristic manifold then the Cauchy problem is not C∞ well posed even though the Levi condition is satisfied, only well posed in much smaller function spaces, the Gevrey class of order 1 ≤ s < 5 and not well posed in the Gevrey class of order s > 5.In this lecture, we provide a general picture of the Cauchy problem for noneffectively hyperbolic operators, from the view point that the Hamilton map and the geometry of orbits of the Hamilton flow completely characterizes the well/not well-posedness of the Cauchy problem, exposing well/not well-posed results of the Cauchy problem with detailed proofs.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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The first Seasonal Institute of the Mathematical Society of Japan (MSJ-SI) “Probabilistic Approach to Geometry” was held at Kyoto University, Japan, on 28th July 2008 - 8th August, 2008. The conference aimed to make interactions between Geometry and Probability Theory and seek for new directions of those research areas. This volume contains the proceedings, selected research articles based on the talks, including survey articles on random groups, rough paths, and heat kernels by the survey lecturers in the conference. The readers will benefit of exploring in this developing research area.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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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.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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The present volume is the proceedings of the conference “Algebraic Analysis and Around”, in honor of Professor Masaki Kashiwara's 60th birthday, held in Kyoto in June, 2007. Most of the papers contributed in this volume are based on the talks given in the conference, and the subjects discussed here contain D-modules, micro-local analysis, representation theory, integrable systems, to which Kashiwara's contribution and influence are really profound. The readers may find groundbreaking materials for the future in mathematics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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The articles in this volume provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but currently branching out in all directions.The longer articles by Bobenko (the Bonnet problem), Dorfmeister (the generalized Weierstrass representation), Joyce (special Lagrangian 3-folds) and Terng (geometry of soliton equations) are substantial surveys of several aspects of the subject. The shorter ones indicate more briefly how the classical ideas have spread throughout differential geometry, symplectic geometry, algebraic geometry, and theoretical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is the proceedings of the 14th MSJ International Research Institute “Asymptotic Analysis and Singularity”, which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume is the outcome of the conference “Algebraic Geometry in East Asia. II” which was held at the Conference Hall (Hanoi, Vietnam) during October 10 - October 14, 2005. It collects two survey articles and eight research articles contributed by the invited lecturers. Topics touched upon in this volume include: Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic curves, dual varieties, Castelnuovo-Weil lattices and so on. The reader can not only find the current status of a variety of research topics but also enjoy the art of the subjects by leading algebraic geometers.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006). It will be titled “International conference on Advances in discrete dynamical systems”. ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute.These proceedings comprise new results at the leading edge of many areas in difference equations and discrete dynamical systems and their various applications to the sciences, engineering, physics, and economics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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Algebraic geometry in a traditional and fast developing research area in east Asia. There were many world leading algebraic geometers and there are remarkably increasing active mathematicians in the related area in the East Asia area including China, Japan, Korea, Taiwan and Vietnam. The purpose of the conference series 'Algebraic Geometry in East Asia' is to provide a platform for algebraic geometers in or closely related to East Asia.This volume is the proceeding of the conference 'Algebraic Geometry in East Asia, Taipei' which was held in November of 2011 in NCTS at Taipei. It contains two survey articles together with nine research articles. It provides the up-to-date advances of the research of algebraic geometry in East Asia.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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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.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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This volume consists of eight original survey papers written by invited lecturers in connection with a conference 'Variational Methods for Evolving Objects' held at Hokkaido University, Sapporo, Japan, July 30 - August 3, 2012. 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. These papers are carefully prepared so that they serve as a good starting point of investigation for graduate students and new comers to the field and are strongly recommended.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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The volume contains surveys and original articles based on the talks given at the 40-th Finsler Symposium on Finsler Geometry held in the period September 9-10, 2005 at Hokkaido Tokai University, Sapporo, Japan. The Symposium's purpose was not only a meeting of the Finsler geometers from Japan and abroad, but also to commemorate the memory of the late Professor Makoto Matsumoto. The papers included in this volume contain fundamental topics of modern Riemann-Finsler geometry, interesting not only for specialists in Finsler geometry, but for researchers in Riemannian geometry or other fields of differential geometry and its applications also.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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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

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This volume consists of selected paper on recent 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 symplectic or contact diffeomorphisms. Most of the authors were invited speakers or participants of the International Symposium on Groups of Diffeomorphisms 2006, which was held at the University of Tokyo (Komaba) in September 2006.This volume is dedicated to Professor Shigeyuki Morita on the occasion of his 60th anniversary. We believe that the scope of this volume well reflects Shigeyuki Morita's mathematical interests. We hope this volume to inspire not only the specialists in these fields but also a wider audience of mathematicians.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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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 theory has developed into a powerful tool with applications to diverse questions in algebraic geometry and related fields. One of the main purposes of this book is to establish the fundamental theorems of the minimal model program, that is, various Kodaira type vanishing theorems, the cone and contraction theorem, and so on, for quasi-log schemes. The notion of quasi-log schemes was introduced by Florin Ambro and is now indispensable for the study of semi-log canonical pairs from the cohomological point of view. By the recent developments of the minimal model program, we know that the appropriate singularities to permit on the varieties at the boundaries of moduli spaces are semi-log canonical. In order to achieve this goal, we generalize Kollár's injectivity, torsion-free, and vanishing theorems for reducible varieties by using the theory of mixed Hodge structures on cohomology with compact support. We also review many important classical Kodaira type vanishing theorems in detail and explain the basic results of the minimal model program for the reader's convenience. Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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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 ζ(s) on the line Re s = σ, where 1/2 < σ ≤ 1, was found by Bohr-Jessen in the early 1930s. After Bohr-Jessen, alternative proofs were given by Jessen-Wintner, Borchsenius-Jessen, Laurinčkas, Matsumoto and others. They dealt with this within the framework of probability theory. Their formulation, originated by Jessen-Wintner, is standard nowadays. The present book proposes a new approach for the formulation to refine their works. By this method, the whole story of the proof of the Bohr-Jessen limit theorem will now become clearer, so that the reader must be able to understand the essence of the proof in depth but without difficulty.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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This volume is a collection of 6 lecture notes presented at the School on Singularity Theory, São Carlos, Brazil, July 16-21, 2012, or at the 12th International Workshop on Real and Complex Singularities, São Carlos, Brazil, July 22-27, 2012.Topics treated in the 6 lecture notes written by established authors cover, reflecting authors' expertise, 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, Limit cycles of systems of ordinary differential equations.Each lecture note is extremely well-written with plentiful examples and may be considered as one of the most excellent readings in the relevant topic. This book is suitable for being kept at one's desk-side and widely recommended for graduate students studying singularity theory, and researchers in various fields who would like to enjoy the world of singularities.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

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