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Digital Topology:A Smooth Introduction
Tuesday, November 14, 2017

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 dene 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.

Time: 12:00 pm
Location: Hegeman 204
Sponsor: Mathematics Program
Contact: Lauren Rose.
Phone: 845-758-7362

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