Some Computational Homology Lectures

Slides of a lecture on computational homology delivered at the Dynamics,Topology and Computations conference in Bedlewo, Poland, 24-30 June 2012.

And below are slides of a 4-lecture mini course given at the Summer School in Algorithmic Mathematics, FU Berlin, August 16-20, 2010

Lecture 1: Persistent homology and some applied topology

Lecture 2: Discrete Morse Theory, homology computation and the homology of finite groups

Lecture 3: Perturbation Lemma, homology of some crystallographic and arithmetic groups, and the K(pi,1)-conjecture for Artin groups

Lecture 4: A higher dimensional Seifert-van Kampen theorem and the homotopy groups of the 2-sphere