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PROGRAM

The conference will be held at the International House of Tokyo Metropolitan University, Thursday 23 January - Saturday 25 January 2003

23 January 2003

1400-1500
Alexander Bobenko (Technische Universitaet Berlin)
Discrete differential geometry. Minimal surfaces from circle packings: geometry from combinatorics

     Details and photos

1530-1630
Wayne Rossman (Kobe University)
Using computers to study special surfaces (H=1 and K=0 surfaces in H^3, discrete H=0 surfaces in R^3)

     Details and photos

1700-1800
Richard Palais (Brandeis University)
3D-XplorMath: A Mathematical Visualization Program for "The Rest of Us"

Abstract: Mathematical visualization programs have been traditionally either directed at the professional research scientist or else at a low level, common denominator layman. The first kind have a fairly steep learning curve, since to see an object one must first create it in some programming environment, while those of the second kind have the drawback that they deal with only fairly elementary mathematical objects. 3D-XplorMath tries to find a middle ground. Its goal is to be a Mathematical Laboratorium, useful to research mathematicians and graduate students, but also to undergraduates, teachers of mathematics, and anyone with an interest in investigating the visual and logical beauty of mathematics. To attain this goal it contains a large Gallery of pre-programmed objects from many areas of both elementary and advanced mathematics, and associated documentation for each of these objects. It also contains many different carefully tailored rendering algorithms to display and animate these objects and the various mathematical processes that are associated with them. In this talk I will demo the program, discuss its evolution, and explain the plans of the 3DXM Consortium for the future development of the program.

     Details and photos

24 January 2003

1030-1130
Tim Hoffmann (Technische Universitaet Berlin/University of Massachusetts, Amherst)
Discrete differential geometry. Curves and surfaces

     Details and photos

1145-1245
Wolfgang Schief (University of New South Wales)
Discrete differential geometry. Deformation of surfaces

     Details and photos

1400-1500
Nick Schmitt (University of Massachusetts, Amherst/Technische Universitaet Berlin)
Constant mean curvature n-noids

     Details and photos

1530-1630
Yoshihiko Tazawa (Tokyo Denki University)
Visualization in teaching geometry

     Details and photos

1700-1800
Nobuki Takayama (Kobe University)
Grobner bases, hypergeometric functions and polyhedral geometry

     Details and photos

25 January 2003

1030-1130
Boris Springborn (Technische Universitaet Berlin)
Variational principles for circle patterns and Koebe's theorem

     Details and photos

1145-1245
Yusuke Sakane (Osaka University)
Bezier curves and Bezier surfaces in teaching mathematics

     Details and photos