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Accueil > Publications > Lectures in Mathematics & Theoretical Physics

Editor : Christian Kassel and Vladimir Turaev, Strasbourg, France

Cette collection est consacrée à la publication des actes de conférences et workshops organisés par l’Institut de Recherche Mathématique Avancée, de monographies scientifiques et d’autres écrits mathématiques jugés intéressants par l’éditeur. *L’EMS pratique des tarifs préférentiels pour les participants aux Rencontres entre mathématiciens et physiciens théoriciens qui se déroulent à l’IRMA.*

Volume 27 : Handbook of Teichmüller Theory, Volume VI

This volume is the sixth in a series dedicated to Teichmüller theory in a broad sense, including various moduli and deformation spaces, and the study of mapping class groups.

Volume 26 : Handbook of Teichmüller Theory, Volume V

This volume is the fifth in a series dedicated to Teichmüller theory in a broad sense, including the study of various deformation spaces and of mapping class group actions.

This book studies a new theory of metric geometry on metric measure spaces, originally developed by M. Gromov in his book “Metric Structures for Riemannian and Non-Riemannian Spaces” and based on the idea of the concentration of measure phenomenon due to Lévy and Milman.

Volume 24 : Free Loop Spaces in Geometry and Topology

One of the main purposes of this book is to facilitate communication between topologists and symplectic geometers thinking about free loop spaces.

The present volume is the first modern comprehensive book on that program and its impact in contemporary mathematics and physics.

Volume 22 : Handbook of Hilbert Geometry

This volume presents surveys, written by experts in the field, on various classical and the modern aspects of Hilbert geometry.

Volume 21 : Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series.

The present volume emanated from a conference hosted in June 2011 by IRMA at Strasbourg University in France.

Volume 20 : Singularities in Geometry and Topology

This volume arises from 5th Franco-Japanese Symposium on Singularities, held in Strasbourg in August 2009.

Volume 19 : Handbook of Teichmüller Theory, Volume IV

The present book is the fourth volume in a Handbook of Teichmüller Theory project that started as an attempt to present, in a most comprehensive and systematic way, the various aspects of this theory with its relations to all the fields mentioned.

Volume 18 : Strasbourg Master Class on Geometry

This book contains carefully revised and expanded versions of eight courses that were presented at the University of Strasbourg, during two geometry master classes, in 2008 and 2009.

Volume 17 : Handbook of Teichmüller Theory, Volume III

The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces.

Volume 16 : Handbook of Pseudo-Riemannian Geometry and Supersymmetry

The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories.

Volume 15 : Renormalization and Galois Theories

This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas : renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory.

Volume 14 : Dynamical Systems and Processes

This book presents in a concise and accessible way, as well as in a common setting, various tools and methods arising from spectral theory, ergodic theory and stochastic processes theory, which form the basis of and contribute interactively a great deal to the current research on almost everywhere convergence problems.

Volume 13 : Handbook of Teichmüler Theory, volume II

The purpose of this handbook is to give a panorama of some of the most important aspects of Teichmüller theory. The present volume is divided into four parts :

The metric and the analytic theory

The group theory

Representation spaces and geometric structures

The Grothendieck–Teichmüller theory.

Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of the ongoing research in the domain of quantum groups, an important subject of current mathematical physics.

Volume 11 : Handbook of Teichmüller Theory, Volume I

The purpose of this handbook is to give a panorama of some of the most important aspects of Teichmüller theory. The handbook should be useful to specialists in the field, to graduate students, and more generally to mathematicians who want to learn about the subject. All the chapters are self-contained and have a pedagogical character. They are written by leading experts in the subject.

Volume 10 : Physics and Number Theory

There is a rich and historical relationship between theoretical physics and number theory. This volume presents a selection of problems which are currently in full development and inspire a lot of research going on. Each of the seven contributions starts with an introductory survey which makes it possible even for non-specialists to understand the results and to gain an idea of the great variety of subjects and techniques used.

Volume 09 : Differential Equations and Quantum Groups

This special volume is dedicated to the memory of Andrey A. Bolibrukh. It contains two expository articles devoted to some aspects of Bolibrukh’s work, followed by ten refereed research articles.

Volume 08 : AdS/CFT Correspondence : Einstein Metrics and Their Conformal Boundaries

Since its discovery in 1997 by Maldacena, AdS/CFT correspondence has become one of the prime subjects of interest in string theory, as well as one of the main meeting points between theoretical physics and mathematics. On the physical side it provides a duality between a theory of quantum gravity and a field theory. The mathematical counterpart is the relation between Einstein metrics and their conformal boundaries. The correspondence has been intensively studied, and a lot of progress emerged from the confrontation of viewpoints between mathematics and physics.

Volume 07 : Numerical Methods for Hyperbolic and Kinetic Problems

Hyperbolic and kinetic equations arise in a large variety of industrial problems. For this reason, the CEMRACS summer research center held at CIRM in Luminy in 2003 was devoted to this topic. During a six-week period, junior and senior researchers worked full time on several projects proposed by industry and academia. Most of this work was completed later on, and the results are now reported in the present book.

Volume 06 : Metric Spaces, Convexity and Nonpositive Curvature

This book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. The book also contains a systematic introduction to the theory of geodesics, as well as a detailed presentation of some facets of convexity theory that are useful in the study of nonpositive curvature.

Volume 05 : Infinite Dimensional Groups and Manifolds

This volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Langue : anglais / This volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Language : english.

Volume 04 : Three Courses on Partial Differential Equations

This book provides an introduction to three different topics in partial differential equations arising from applications. Langue : english / This book provides an introduction to three different topics in partial differential equations arising from applications. Language : english

Volume 03 : From Combinatorics to Dynamical Systems

Journées de Calcul Formel, Strasbourg, March 22-23, 2002 / Journées de Calcul Formel, Strasbourg, March 22-23, 2002. Language : English

Volume 02 : Locally compact quantum groups and groupoids

Actes des Rencontres entre Physiciens Théoriciens et Mathématiciens qui se sont déroulées du 21 au 23 février 2002. Langue : anglais / Proceedings of the Meeting of Theoretical Physicists and Mathematicians, Strasbourg, February 21-23, 2002. Language : english.

Volume 01 : Deformation Quantization

Actes de la Rencontre entre Physiciens Théoriciens et Mathématiciens, qui s’est déroulée du 31 mai au 2 juin 2001 à l’IRMA. Langue : anglais. / Proceedings of the Meeting of Theoretical Physicists and Mathematicians,

Strasbourg, May 31-June 2, 2001. Language : english