**Wednesday October 25, 4 pm in Bouillon 112. We will have wonderful refreshments.**

Dr. Nicholas Scoville from Ursinus College will be visiting and will give a talk titled:

**Digital Topology: a Smooth Introduction**

**Abstract: **Digital images surround us. They are found in our computers, iPhones, televisions, and more. Because they are so integrated into our lives, there is a constant need to manipulate and investigate these images. Anything that one might want to do with a digital image will inevitably involve some kind of mathematics, whether it be linear algebra, geometry, or topology. In this talk, we will introduce not only the topology of digital images, but topology in general. We'll discuss some of the main ideas in topology and use them to figure out what topology would mean in a digital setting. Our newfound knowledge of digital topology will then allow us to define a digital version of the Hopf fibration, a function between spheres of different dimensions which links together circles in a beautiful and profound way. This talk will be accessible to undergraduates.