Michel Cassé

Jean-Pierre Bourguignon

Hervé Chandès

The Fondation Cartier pour lart contemporain, in conjunction with the Institut des Hautes Études Scientifiques (IHÉS) and in partnership with UNESCO, is holding the exhibition Mathematical, Even Fire Is Governed By Numbers with one purpose in mind: to let mathematics and mathematicians speak out by giving them the opportunity to brainstorm with major artists from the world of contemporary art. By taking it out of the environment in which it is usually articulated and taught, the exhibition seeks to combine the aesthetic, scientific and educational aspects of mathematics into one unique experience. Six mathematicians have engaged in mutual exchanges with the guest artists: Sir Michael Atiyah (Fields Medal, 1966, and Abel Prize, 2004), Alain Connes (Fields Medal, 1982), Nicole El Karoui, Mikhail Gromov (Abel Prize, 2009), Cédric Villani (Fields Medal, 2010) and Don Zagier (Cole Prize, 1987). Accompanying these mathematicians are four artists: Raymond Depardon, Cai Guo-Qiang, David Lynch and Hiroshi Sugimoto. Together, they collaborate on a series of projects: movies, sound pieces and in situ installations. A combination of written texts, questionnaires and portraits, the catalogue also illustrates the diversity of mathematical thought as expressed by the scientists as well as the artists and emphasizes the importance of creativity in this field. A large part of the book is also devoted to the visual interpretations of mathematics as conveyed through the works of the artists participating in the exhibition.

A Beautiful Elsewhere

Mathematics

Alberto Adrego Pinto

Marcelo Viana

Rolf Jeltsch

The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing planetary problems and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has increased to the point where it influences the global climate, impacts the ability of the planet to feed itself and threatens the stability of these systems. Issues such as climate change, sustainability, man-made disasters, control of diseases and epidemics, management of resources, risk analysis and global integration have come to the fore. Written by specialists in several fields of mathematics and applied sciences, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Mathematics of Energy and Climate Change held in Lisbon, Portugal, in March 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book presents the state of the art in advanced research and ultimate techniques in modeling natural, economical and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences.

International Conference and Advanced School Planet Earth, Portugal, March 21-28, 2013

Mathematics of Energy and Climate Change

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

Proceedings of French-Japanese Symposia Held at IHÉS in 2006

Noncommutativity and Singularities

The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global economic and social challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has developed highly complex systems, including economic and financial systems; the World Wide Web; frameworks for resource management, transportation, energy production and utilization; health care delivery, and social organizations. This development has increased to the point where it impacts the stability and equilibrium in human societies. Issues such as financial and economic crisis, sustainability, management of resources, risk analysis, and global integration have come to the fore. Written by some of the world’s leading specialists, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Dynamics, Games and Science II, held in Lisbon, Portugal, 28 August -6 September 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book describes the state of the art in advanced research and ultimate techniques in modeling natural, economic and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences, focusing mainly on dynamical systems, game theory and applied sciences.

International Conference and Advanced School Planet Earth, DGS II, Portugal, August 28–September 6, 2013

Dynamics, Games and Science

William Kingdon Clifford

Hanna Nencka

This volume is the outgrowth of a conference devoted to William K. Clifford entitled, 'New Trends in Geometrical and Topological Methods', which was held at the University of Madeira in July and August 1995. The aim of the conference was to bring together active workers in fields linked to Clifford's work and to foster the exchange of ideas between mathematicians and theoretical physicists. Divided into 6 one-day sessions, each session was devoted to a specific aspect of Clifford's work. This volume is an attempt to bring the Clifford legacy in a new perspective to a larger community of mathematicians and physicists. New concepts, ideas, and results stemming from Clifford's work are discussed. Each article in the book is a self-contained paper that was presented at or submitted to the conference.

In Memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in Memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal

Jean-Pierre Bourguignon

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