math colloquium, counting klein bottles

nov 18, 2020 , 4:00pm - 5:00pm
event categories
mathematics department
admission fees

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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