Math Colloquium, Counting Klein Bottles

Nov 18, 2020 , 4:00pm - 5:00pm
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Mathematics Department
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Speaker: Haydee Lindo, Harvey Mudd College

A Klein Bottle cannot be embedded in 3-dimensional space. So if you've ever seen a glass "Klein Bottle" in real life you can imagine it as the image of a continuous map from an actual Klein Bottle into 3-space. Are there other ways to map the Klein Bottle into real space? Do they look different? Are they actually different? In this talk, we'll discuss how many "different” ways a 2-dimensional compact space can be mapped into three dimensions by tracking the effects of immersions on tangent spaces.

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A clear and curvy Klein bottle in front of a black gradient background
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November 18, 2020
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