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Campus Notices

Digital Topology at Mount Stuart Mathematics Seminar

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The Mount Stuart Mathematics Seminar is this Wednesday, October 25, at 4 pm in Bouillon 112.  Our speaker this week is Nicholas Scoville from Ursinus College; he will give us an introduction to Digital Topology, including the main ideas of topology.  In addition to interesting talks, we also have awesome snacks.  Please invite your undergraduate math students to join us.

Title: 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.





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