Public Lecture, AMSI Summer School
Start Date
January 10, 2024
End Date
January 10, 2024
Registration
Closed
Event: Public Lecture
Title: Quantifying Differences in Shape via Algebraic Topology
Speaker: Katharine Turner, ANU
Date/Time: Wednesday 10 January 2024; 12–1.30pm AEDT
Location: China in the World, Building 188, Fellows Road, ANU
Website: https://rhed.amsi.org.au/public-lectures/quantifying-differences-in-shape-via-algebraic-topology/
Talk Abstract
Homology is an algebraic invariant of the topology of a space. A single homology measurement cannot distinguish subsets of Euclidean space that are topologically the same but geometrically different. However, by considering a parameterised families of growing subsets of a shape and how the homology evolves over this families (called persistent homology) we can bridge between the topological and geometric. I will talk about how we can use persistent homology to construct a metric between different subsets of Euclidean space and give some examples of applications from classification of serif from sans serif fonts, to disease prognosis of brain tumours.
Related Event
Show All
International Congress of Mathematicians (ICM) 2026
July 23, 2026
MATRIX Program: Slow Viscous Flows with Interfaces
July 17, 2025
MISG 2025
February 10, 2025
ANZIAM 2025
February 2, 2025