Bøker i Advanced Studies in Pure Mathematics-serien

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.

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.

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.

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.