
Organizing committee: Robert Sinclair (Ryukyu University), Martin Guest (Tokyo Metropolitan University), Takashi Sakai (Tokyo Metropolitan University).
AIM: An introduction to MAPLE and how to use it to compute interesting geometrical objects, directed by Robert Sinclair. The tutorial was aimed at undergraduate and graduate students, and anyone who wishes to learn the subject. It focused on practical computer work.
Survey talk by Robert Sinclair: Title: "Experimental Mathematics"
Abstract: The richness of pure mathematics guarantees an endless source of open problems. These lead to conjectures and finally proofs via a bewildering variety of methods, limited only by experience, insight and intuition. Some of these many paths to proof lead through extensive experimentation before reaching their goal. Others begin with a new insight gained by examining a small number of examples in great detail. Even a single clearly worked through example of what form a final proof might take can provide the necessary motivation for a pure mathematician to proceed. In this talk, I will give a number of examples of the interaction between experimental and pure mathematics in mathematical physics, global differential geometry, topology and algebra.
COURSE MATERIAL: A Basic Introduction to Maple for Geometry (PDF File ) Maple Exercise File (HTML File) "Experimental Mathematics" Survey Talk Movie ( Video File)
