Geometry and topology: tools to understand materials, bones, alloys (and more)...

15^th May 2018, 13:00 Ashton Lecture Theater
Dr. Pawel Dlotko
Department of Mathematics
Swansea University

Abstract

In this talk we will define and present various ways to define and
compute persistent homology: a robust summary of shapes that can be
efficiently computed. We will use it to summarize various porous
materials We will build stable persistent-homology-based descriptors
of zeolites, metal-organic frameworks and other nanoporous materials.
We will see how it help to understand trabecular bone structure and
can be used in clinical practice. We will also use it as a high
dimensional descriptor of dynamics and see how it help to understand
phase separation in alloys. All the used concepts will be intuitively
introduced, so no prior knowledge is required. We will also show how
to use the state of the art implementation used in this type of
computations.