Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Comparative Stability of Two Zigzag Bottleneck Distances

Applied Algebraic Topology Network via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a 29-minute conference talk examining the comparative stability of two zigzag bottleneck distances in the field of applied algebraic topology. Delve into the natural extension of 1D persistence known as zigzag persistence, its applications, and its potential as an indirect approach to multidimensional persistence. Analyze the bottleneck distances for zigzag modules generated from various mathematical structures, including kan extensions to planar block modules, Auslander-Reiten quivers, and derived categories. Compare and contrast these distances, highlighting their similarities, stark differences, and irreconcilable aspects. Focus on the specific distance derived from the Auslander-Reiten quiver perspective, understanding its place within the broader context of zigzag persistence theory.

Syllabus

Killian Meehan (7/6/2020): Comparative Stability of Two Zigzag Bottleneck Distances

Taught by

Applied Algebraic Topology Network

Reviews

Start your review of Comparative Stability of Two Zigzag Bottleneck Distances

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.