"Topological
data analysis: vineyards for metallic structures"
Abstract:
Modeling
microstructures is a problem that interests material science as well as mathematics. The most basic model for steel microstructure is the Poisson-Voronoi diagram. It has mathematically attractive properties and has been used in the approximation of single-phase
steel microstructures. We would like to present methods that can be used to assess whether a real microstructure can be approximated by such a model. In this talk, we construct tests that use data coming from serial sectioning (multiple 2D sections) of a 3D
metallic structure. The proposed statistics exploit tools from topological data analysis such as persistence diagrams and (a modified version of) persistence vineyards.
! Due
to the hybrid nature of the topic, we would be grateful if you could forward this message to any person interested in Topological Data Analysis in your laboratory
!
We encourage in-person partecipation. Should you be unable
to come, here is the link to the event on Teams:
The seminar is part of the Excellence Project Math@TOV.
You can find a schedule with the next events at the following link: https://www.mat.uniroma2.it/~rds/events.php .