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Abstract:
Computational Topology is a young field in the algebraic topology. The main concept is to count the Betti numbers of a given complex. Tools from the computational topology has been proven successful in many scientific disciplines, such as fluid dynamics, biology, material science, climatology, etc.  In this talk, we will give a brief introduction to computational topology, and its main tool?Persistent Homology.  Moreover, we show applications to various noisy datasets arisen from cell biology and climatology.

Contact

Junping Shi

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