Event Detail

Monday, November 30, 2020 - 12:00 to 12:50
Zoom -- Please contact Christine Escher for a link.

Speaker Info

Local Speaker: 

In the novel field of Topological Data Analysis (TDA), the theory of persistent homology is a widely adapted tool which provides homological information of datasets. One key step of its application involves computing the persistent homology groups of a filtration of (large) abstract simplicial complexes, and its computational complexity scales with the size of the complexes. With ideas in discrete Morse theory, we can preprocess the abstract simplicial complexes to greatly reduce its size without any loss of homological information, opening up a way to do the computation much more efficiently. In this talk I will introduce some ideas of discrete Morse theory and see how this reduction of the abstract simplicial complexes work at a theoretical level.