Abstract for January 20, 2006

Afra Zomorodian: Persistent Homology and its Applications

In this talk, I motivate and describe persistent homology, an algebraic tool that reveals the underlying structure of a multi-scale view of a sampled space. After describing the theory, I present a few applications briefly, including shape description, bilipid membrane fusion, and localization. Time permitting, I will also talk about recent results on multidimensional persistence.

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