Event Detail

Event Type: 
Geometry-Topology Seminar
Monday, May 4, 2020 - 12:00 to 12:50

Topological data analysis continues to be a thriving research field with many avenues for new researchers. One such avenue is in security and domain coverage via robots or sensor nodes. This talk addresses topological conditions we can put on nodes that have some ability to see radially around themselves, in order to “cover” the entire domain. By using topological conditions, as opposed to geometric ones, we remove the necessity of coordinate information on each of the nodes which can be beneficial in several real world applications. In particular, we look at two theorems from Dr. Vin de Silva and Dr. Robert Ghrist’s 2006 paper Coverage in Sensor Networks via Persistent Homology and their 2007 paper Coordinate-Free Coverage in Sensor Networks with Controlled Boundaries via Homology. We end with a discussion on future research questions related to this work. The content for this presentation comes from Branwen’s Masters work with Dr. Christine Escher, finished in June of 2018.