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Magnitude meets persistence. What happens after?
October 23, 2019 @ 4:15 pm - 5:15 pm
The magnitude is an isometric invariant of metric spaces that
was introduced by Tom Leinster in 2010, and is currently the object of
intense research, as it has been shown to encode many invariants of a
metric space such as volume, dimension, and capacity. When studying a
metric space in topological data analysis using persistent homology, one
approximates the space through a nested sequence of simplicial complexes
so as to recover topological information about the space by studying the
homology of this sequence. In this talk I will give an introduction to
magnitude as well as persistent homology, and explain how magnitude
homology is related to persistent homology.
