日本語版

 

Tutorial on CMCLab: theory and experiments in surface theory
Tokyo Metropolitan University, Department of Mathematics,

30 June - 1 July 2005

  

 


Organizing committee: Martin Guest (Tokyo Metropolitan University), Shimpei Kobayashi (Tokyo Denki University), Yoshihiro Ohnita (Osaka City University), Takashi Sakai (Tokyo Metropolitan University), Wayne Rossman (Kobe University)


AIM: An introduction to modern theory of surfaces and their geometric visualization, using computer software. The tutorial is aimed at undergraduate and graduate students, and anyone who wishes to learn the subject. It will focus on computer work, with one-to-one instruction by tutors.


SCHEDULE:

Thursday 30 June:  
 
10:00-12:00 Computer equipment setup for participants
13:00-14:00 Lecture: introduction to surface theory
14:30-15:30 Lecture: introduction to the DPW method
16:00-18:30 Computer lab: projects using CMCLab and/or MAPLE
18:30-19:30 Pizza dinner (cost: non-students 2,000, students 1,000)
19:30- Computer lab: work on projects

 

 

 

 

 
Friday 1 July:  
 
10:00-13:00 Computer lab: work on projects
14:00-17:00 Presentation of projects and short research communications

 

 

 

 



 

 

INFORMATION ON CMCLAB:


CMCLab is a JAVA program for studying CMC surfaces, written by Nick Schmitt of the University of Massachusets at Amherst. It implements the DPW method (J. Dorfmeister, F. Pedit, and H. Wu) which is based on the theory of loop groups (G. Segal) and extended solutions (K. Uhlenbeck). The software is useful for studying elementary surface theory and also for attacking open problems in the subject. It runs on any computer with a JAVA virtual machine, and it can be freely downloaded here. A short introduction, written by Katsuhiro Moriya, can be found here. Participants are encouraged to download the software before coming to the tutorial.