On Math, Shadows, and Digital Sundials

Geometric measure theory is a branch of mathematics that, loosely said, focuses on studying geometric properties of objects, such as size and shape. In this talk, Silvia Ghinassi will discuss: How do we measure size? How do we know when an object is one-dimensional, or two-dimensional? What if it is neither? How can we describe shape? What does a cylinder look like if I look at it from below? And from the side?

An interesting application to a theorem by Falconer related to these questions is the “Digital Sundial”, which she will discuss at length. This will all be explained with lots of hand waving, props and pictures!



School of Mathematics