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Hilbert's 15th Problem: Schubert Calculus | Infinite Series

2017-11-10

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Crisis in the Foundation of Mathematics | Infinite Series

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In the late 1800s, a mathematician, Hermann Schubert, computed all sorts of wild enumerative geometry problems, like the number of twisted cubics tangent to 12 quadrics -- which is apparently 5,819,539,783,680. And maybe that exact number doesn’t seem particularly important -- but the fact that Schubert was able to figure it out it is pretty amazing.

Schubert Calculus, Kleiman and Laksov --

https://www.jstor.org/tc/accept?origin=/stable/pdf/2317421.pdf

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The Honeycomb Model of GLn(C) Tensor Products II -- Knutson, Tao, Woodward -- THE HONEYCOMB MODEL OF GLn(C) TENSOR PRODUCTS II:

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Crisis in the Foundation of Mathematics | Infinite Series by PBS Infinite Series
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Introduction
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Puzzles
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Proof
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Puzzle
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Questions
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PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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