Topology, Geometry and Data Seminar - Ruian Chen

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Topology, Geometry and Data Seminar
November 24, 2020
4:00PM - 5:00PM
Location
Zoom link to be announced

Date Range
Add to Calendar 2020-11-24 16:00:00 2020-11-24 17:00:00 Topology, Geometry and Data Seminar - Ruian Chen Title: Categorifying Persistent Homology Speaker: Ruian Chen - The Ohio State University Abstract: This expository talk will introduce the categorical approach to persistent homology. Following Bubenik–Scott, we redevelop the structure theorem and stability in persistent homology. In particular, we will construct the category of interleavings, investigate its abelian structure, and deduce further stability theorems.  Seminar Link Zoom link to be announced Department of Mathematics math@osu.edu America/New_York public
Description

Title: Categorifying Persistent Homology

Speaker: Ruian Chen - The Ohio State University

Abstract: This expository talk will introduce the categorical approach to persistent homology. Following Bubenik–Scott, we redevelop the structure theorem and stability in persistent homology. In particular, we will construct the category of interleavings, investigate its abelian structure, and deduce further stability theorems. 

Seminar Link

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