| Lecture(講演者): Pawel Pilarczyk | |
| Title(タイトル): Computational Homology Project | |
| Level: | |
 |
形式(format): QuickTime(日本語) , QuickTime(English) (Version 7 or later) |
| Source: 数学ソフトウェアとフリードキュメント 4, 2007年3月26日（月), 埼玉大学 | |
| Abstract(内容): Algebraic topology is a powerful mathematical tool for the analysis of topological spaces and continuous maps. In particular, the homology functor translates topological information into algebraic data structures which can be effectively manipulated and analyzed by the computer in an algorithmic way. In this talk we introduce the software developped within the framework of the Computational Homology Project (CHomP; http://www.math.gatech.edu/~chomp/ ). This software can be used to effectively compute the homology groups of compact sets built of (hyper)cubes with respect to a uniform rectangular lattice in R^n, and it is also capable of computing the homomorphisms induced in homology by continuous maps between such spaces. The software already has several applications, and we will point out a few of them. | |
| Message from the speaker: | |
Keywords: serial=0046, type=research lecture
License(ライセンス): No modification and free distribution. (creative commons, Attribution-NoDerivative works 2.1) Details
Attachments (PDF)
| slides (スライド) |
|---|
Lecture video (講義映像)
If you watch movies by streaming on Windows, please do not stop it by the "x" button. Your network connection might become very slow.Windows上で Streaming で閲覧している場合, 停止するときは, 停止ボタンを必ずおしてください. x で停止しないように. ネットワークの接続速度が極端に遅くなる場合があります.)
To save movies, click the right button. (右クリックでダウンロード保存可能です.)
[111-3]
| Streaming (65M, about 23 min) | Download(row resolution, 65M) | Download(high resolution, 186M) |
|---|
References and Links (参考文献およびリンク)
$Id: 2007-03-26-sd-4-pavel.html,v 1.2 2008/09/06 05:35:49 takayama Exp $