Bøger i Mathematical Sciences Research Institute Publications serien

This book provides a comprehensive introduction to some of the most significant interactions between noncommutative algebra and representation theory and classical algebraic geometry, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.

A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras. Recent efforts to understand the fundamental nature of the new link invariants has led to connections with invariant theory, statistical mechanics and quantum theory.

This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation. Although a connection between topology and electromagnetism has been known since the 1800s, there has been very little exposition of it. This book takes steps to close that gap.

This book surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information. Topics include scoring, bidding chess, Wythoff Nim, misere play, partizan bidding, loopy games, and placement games, along with a survey of temperature theory by Elwyn Berlekamp and a list of unsolved problems.

In recent years there have been many significant developments in these two fields; furthermore, the boundary between them has become increasingly blurred. Based on a series of successful lectures, this two-volume series contains survey articles and research papers by experts in the field which emphasise the connections between them. Volume 2 focuses on the most recent research.

This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

This book includes a tutorial for analysing misere impartial games and how it can be used for misere partisan games. Hex and Go are featured, along with new games: Toppling Dominoes and Maze. Updated versions of Unsolved Problems in Combinatorial Game Theory and the Combinatorial Games Bibliography complete the volume.

During late June and early July of 1987 a three week program (dubbed "microprogram") in Commutative Algebra was held at the Mathematical Sciences Research Institute at Berkeley.

This volume, based on the Fall 2010 MSRI program, includes review articles, research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles, and other core aspects of random matrix theory such as integrability and free probability theory.

The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 9-12, 1986.

This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics.

According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras.

This volume, based on a workshop by the MSRI and addressed to both beginners and experts, offers an expository overview of the state of the art in many areas of algebraic geometry. Many chapters present approaches to long-standing open problems by means of modern techniques currently under development and contain questions and conjectures to help spur future research.

This collection of survey and research articles focuses on recent developments in quantitative aspects of 'thin groups'. It provides a broad panorama of a very active field at the boundary between geometry, dynamical systems, number theory and combinatorics for professional mathematicians and graduate students in this fascinating area of research.

The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups.

This book consists of lectures that are part of the distinguished series of MSRI workshops and contains contributions by six different authors providing mathematics students and researchers with a bridge - or a window - into a portion of the intriguing world of theoretical physics, especially that which centers around Einstein gravitation and quantum field theory.

The essays in this book describe recent developments in inverse problems and imaging, including hybrid or couple-physics methods arising in medical imaging, Calderon's problem and electrical impedance tomography, inverse problems arising in global seismology and oil exploration, inverse spectral problems, and the study of asymptotically hyperbolic spaces.

The present volume is offered as a permanent record for those who were present, and also with a view toward making the material available to a wider audience than were able to attend.

The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems" which was held at MSRl from June 5 to 16, 1989.

An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential system.

From the reviews of the first edition: "This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological study of the differentiable structure of compact four-dimensional manifolds, compact spaces locally modeled on the world in which we live and operate...

In the Fall of 1975 we started a joint project with the ultimate goal of topo logically classifying real algebraic sets. Since these results are interdependent and require some prerequisites as well as familiarity with real algebraic geometry, we decided to make them self contained by presenting them as a part of a book in real algebraic geometry.

. . . . . . . . . . . . . . . . . . . . . . . . Vll . . . . . . . . . . . . . . . . . . . . 27 . . . Lorenz CROSSED PRODUCTS: CHARACTERS, CYCLIC HOMOLOGY, AND GROTHENDIECK GROUPS . . . . . . . . . . . . . . . 69 . . .

Ihara: "Galois actions on 11"1 ( *** ) and higher circular units" * D. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P - {O, 1, oo})" - survey talk * U. Matzat: - "Rationality criteria for Galois extensions" - "How to construct polynomials with Galois group Mll over Q" * B.

The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild.

The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution.