The Functoriality of Persistent Homology

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McCleary
September 28, 2021
4:00PM - 5:00PM
Location
Zoom

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Add to Calendar 2021-09-28 16:00:00 2021-09-28 17:00:00 The Functoriality of Persistent Homology Title:  The Functoriality of Persistent Homology Speaker:  Alex McCleary (Ohio State) Speaker's URL:  https://www.math.colostate.edu/~mccleary/ Abstract:  The pipeline that takes a filtration to its persistence diagram is functorial: it takes morphisms of filtrations to morphisms of persistence diagrams. We will analyze this structure, focusing on the one-parameter setting. We will start with an overview of the categories of filtrations and persistence diagrams followed by some examples of morphisms between filtrations arising in practice and what the induced morphisms between persistence diagrams can tell us. URL associated with Seminar https://tgda.osu.edu/activities/tdga-seminar/ Zoom Department of Mathematics math@osu.edu America/New_York public
Description

Title:  The Functoriality of Persistent Homology

Speaker:  Alex McCleary (Ohio State)

Speaker's URL:  https://www.math.colostate.edu/~mccleary/

Abstract:  The pipeline that takes a filtration to its persistence diagram is functorial: it takes morphisms of filtrations to morphisms of persistence diagrams. We will analyze this structure, focusing on the one-parameter setting. We will start with an overview of the categories of filtrations and persistence diagrams followed by some examples of morphisms between filtrations arising in practice and what the induced morphisms between persistence diagrams can tell us.

URL associated with Seminar
https://tgda.osu.edu/activities/tdga-seminar/

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