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Title:The Banana of My Eye
Author(s):Lanius, Melinda
Subject(s):Mathematics
Abstract:"The apple of my eye" is something I cherish above all others. As a mathematician I study minimally degenerate Poisson manifolds. You can think of a Poisson manifold as the skin of a fruit. Imagine an apple. You probably imagine a fruit with a shiny bright red facade. This pristine and perfect skin corresponds to a non-degenerate Poisson structure. As is true when picking out fruit at the grocery store, many Poisson manifolds aren't quite perfect, but come with dents and bruises. Given a fruit (Poisson manifold), with a minor blemish, I use calculus to try and understand the damage. Sometimes I can model this degeneracy and incorporate the blemish into the geometry. For instance, I can handle the depicted banana, splitting it apart to understand subtle nuances in the geometry that other mathematicians weren't able to see before.However, I am unable to grapple with the bruise on the pear. Through the lens of Poisson geometry, I come to see flawed fruit as perfect and pristine. While this fruit may appear bruised or defective to another mathematician, it becomes the apple - or perhaps I should say banana - of my eye.
Issue Date:2017
Genre:Other
Type:Text
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URI:http://hdl.handle.net/2142/95933
Rights Information:Copyright 2017 Melinda Lanius
Date Available in IDEALS:2017-04-21


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