Speaker: Hamish Carr Title: Contour Trees in Visualisation Abstract: As data scales from gigabyte to terabyte, it becomes impossible to display all of the data at once and rely on the human eye to extract meaning. Visualisation of huge data sets therefore relies on abstractions that encapsulate information about the features in the data. One of the most successful abstractions in recent years is the contour tree, which analyses how features are connected to each other. We will survey the applications of the contour tree to visualisation and graphics. We will also consider its relationship to other topological structures, the Reeb graph and the Morse-Smale complex, and ask what future developments are likely in the application of topology to visualisation.