|Title($B%?%$%H%k(B): Computational Homology Project |
(Version 7 or later) |
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:
serial=0046, type=research lecture
No modification and free distribution.
(creative commons, Attribution-NoDerivative works 2.1)
Lecture video ($B9V5A1GA|(B)
If you watch movies by streaming on Windows, please do not stop it by the "x" button. Your network connection might become very slow.
Windows$B>e$G(B Streaming $B$G1\Mw$7$F$$$k>l9g(B, $BDd;_$9$k$H$-$O(B, $BDd;_%\%?%s$rI,$:$*$7$F$/$@$5$$(B. x $B$GDd;_$7$J$$$h$&$K(B. $B%M%C%H%o!<%/$N@\B3B.EY$,6KC<$KCY$/$J$k>l9g$,$"$j$^$9(B.)
To save movies, click the right button.
References and Links ($B;29MJ88%$*$h$S%j%s%/(B)
$Id: 2007-03-26-sd-4-pavel.html,v 1.2 2008/09/06 05:35:49 takayama Exp $