The 2010 Kyoto Prize
2010
11 /11 Thu
Place:Kyoto International Conference Center
The 2010 Kyoto Prize Kyoto Prize Laureates
Lecture topics
New Medical Science Arising from iPS Cells
Abstract of the lecture
Lecture topics
A Fledgeling Subject Bridging Classical Theory and New Applications
Abstract of the lecture
I was introduced to my main research topic of graph theory in high school. I was lucky enough to be enrolled in a new specialized high school class for mathematics. Not only did I meet many outstanding students there (including my wife), but the famous mathematician Paul Erdős visited the school several times. He gave the students unsolved problems, one or two of which I could solve; so started my lifelong commitment to graph theory and to mathematical research. In those days, graph theory was still quite isolated from “mainstream” mathematics, and later I was often advised by older mathematicians to do something more serious instead. But for me, the novelty of the subject and its potential applications were fascinating. In the last years of my studies, I got interested in the strong connection between operations research and graph theory. I solved a problem about perfect graphs, and the method of solution turned out to have interesting consequences in integer programming and through this, to polyhedra. I have found repeatedly that this connection between graph theory, optimization, and geometry is most fruitful. Shortly after this, I learned about the new theory of algorithmic complexity, which had a lot of consequences in graph theory. This allowed me to be a witness (and a bit, a participant) of the fascinating co-development of the theory of computing and its mathematical basis, discrete mathematics (which includes graph theory). Graph theory also has connections in the opposite direction, to classical mathematics, and I got fascinated with the question of applying such methods to solve graph-theoretical problems. Algebra, topology, geometry and probability theory are among those areas which can be applied in graph theory in interesting ways. More recently, I got interested in the theory of very large networks (like the internet). This gives another new twist to graph theory, and further areas of classical mathematics turn out to be needed here. I have to re-learn areas that I last met when I was a student, I enjoy this enormously.
Lecture topics
Meeting the World Halfway (A Johannesburg Biography)
Abstract of the lecture
The act of looking is always an act of construction. I have lived in Johannesburg all my life. My schools, university, houses and studios have all been within a six kilometre radius of each other. My work has drawn images from the city, and been influenced by the history of the city. In this lecture I will retrace a dual history – that of the city, and that of my own formation as an artist – showing how key elements of my attitude towards image-making have come from the specific experience of growing up in the city over the last 50 years of its existence. Johannesburg is a city characterised by that which is hidden. The city’s raison d’être is the gold in the ground beneath it. The city has been made by excavation, its landscape shaped by the mines and their tailings. The constant changing and erasure which characterise my drawings are echoed in the excavation and archaeology needed to understand the city. A lifetime of drawing becomes a process of understanding the city in which I have always lived. It is also a city which, like all gold rush cities, has been made up of immigrants and is defined by cosmopolitan variety. The very strength of the city and its two great citizens, Mahatma Ghandi and Nelson Mandela, attest to the strength and necessity of mixed histories, cultures, and understandings. The activity of creating meaning in the world from contradictory and disparate elements is integral to the ways in which I put together both images and narratives, and exemplifies my belief in the power of productive misunderstandings and mistranslations. The changing political history of the city shows that the immediate and larger world is never a given, but always being remade. The world is a place of provisionality and change, rather than of fact. This erasing and changing is central to my work. The lecture will take us through the personal, family and artistic construction of my worldview, trying to track how a particular person is both formed by his experience of the world, and in turn makes another world shaped by it.