Course: Computational Topology
Time: Thursday, 9:40-12:05
Location: Mondi I, Main Building, IST Austria
Instructors: Paul Bendich and Herbert Edelsbrunner
| Date | Topics | Assignments | Lecture Notes |
|---|---|---|---|
| 7.10.2010 | Intro, Motivating Examples | | |
| 14.10.2010 | Point-Set Topology | | Lecture Notes |
| 21.10.2010 | Surfaces | HW #1 | |
| 28.10.2010 | Simplicial Complexes, Nerve Theorem | | |
| 04.11.2010 | Point Cloud Triangulations and the Nerve Theorem | HW #2 | Lecture Notes |
| 11.11.2010 | Simplicial Homology and Matrix Reduction | | Lecture Notes |
| 18.11.2010 | Singular Homology, Functoriality, and Relative Homology | HW #3 | Lecture Notes |
| 25.11.2010 | Exact Sequences | | Lecture Notes |
| 02.12.2010 | Persistence: Simplicial Context, Algorithm | | |
| 09.12.2010 | Persistence: Morse functions, Distance functions, Diagrams, Stability | | |
| 16.12.2010 | Extended Persistence and Interlevel Set Combinatorics | | |
| 13.01.2011 | Cohomology, Dualities | | |
| 20.01.2011 | Protein Docking | | |
| 27.01.2011 | Length of Curves | | |
| 03.02.2011 | Root Architecture | | |
Main Text: Herbert Edelsbrunner and John Harer. Computational Topology: An Introduction. American Mathematical Society, 2010.
Other Articles/Books: TBA