CSU Math Club


CSU Math Club Presents:

Digital topology:  A Smooth Introduction

Dr. Nick Scoville, Ursinus College

Thursday, September 21th

Rhodes Tower Room 1402

11:30 a.m. - 12:15 p.m

There will be pizza and soda. All are welcome!

Abstract: Digital images surround us. They are found in our computers, iPhones, televisions, and more. Because they are so integrated into our lives, there that one might want to do with a digital image will inevitably involve some is a constant need to manipulate and investigate these images. Anything kind of mathematics, whether it be linear algebra, geometry, or topology. and use them to figure out what topology would mean in a digital setting. 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 dimensions which links together circles in a beautiful and profound way.
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.
 


 


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