Problem of the Week
Hilton Memorial Lecture
This is a continuation of my talk on Discrete Morse Theory of March 18. I will show discrete Morse theory at work in the study of arrangements of complex hyperplanes. Given a complex arrangement (satisfying some additional hypotheses), discrete Morse theory allows one to explicitly construct CW-complexes that are homotopy equivalent to the complement of the arrangement and have the smallest possible number of cells in each dimension.