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Topology, Geometry and Data Seminar - Pawel Dlotko

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May 2, 2014
4:00PM - 5:00PM
Math Tower 154

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Add to Calendar 2014-05-02 16:00:00 2014-05-02 17:00:00 Topology, Geometry and Data Seminar - Pawel Dlotko Title: Disctrete Morse Theory and Persistent HomologySpeaker : Pawel Dlotko, UPennAbstract: Discrete Morse Theory is a version of the classical continuous Morse theory that operates on a finite cell complexes. For many researches it is at least as perfect the continuous theory. In this talk I will explain the idea of discrete Morse theory, and show how it is related to field homology and persistence. Later a possible relation of iterated Morse complex and Reeb graph will be discussed. At the end, if time permit I will discuss the techniques to compute homology of a level set of a continuous function and persistent homology of a topological space with a tame function on it. Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Disctrete Morse Theory and Persistent Homology

Speaker : Pawel Dlotko, UPenn

Abstract: Discrete Morse Theory is a version of the classical continuous Morse theory that operates on a finite cell complexes. For many researches it is at least as perfect the continuous theory. In this talk I will explain the idea of discrete Morse theory, and show how it is related to field homology and persistence. Later a possible relation of iterated Morse complex and Reeb graph will be discussed. At the end, if time permit I will discuss the techniques to compute homology of a level set of a continuous function and persistent homology of a topological space with a tame function on it.

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