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 | | |