Why Does the Positive Grassmannian Show Up Everywhere? | PODCAST: The Joy of Why

By Quanta Magazine

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Lauren Williams tells The Joy of Why how studying a fundamental object in algebraic combinatorics led to a career full of surprises. “The Joy of Why” is a Quanta Magazine podcast about curiosity and the pursuit of knowledge. The mathematician and author Steven Strogatz and the cosmologist and author Janna Levin take turns interviewing leading researchers about the great scientific and mathematical questions of our time. For more episodes visit Quanta Magazine: https://www.quantamagazine.org/tag/the-joy-of-why/ --------- CHAPTERS 00:00 Intro: algebraic combinatorics explained 04:13 Lauren Williams on mathematical beauty 08:03 Why combinatorics is becoming central to mathematics 14:45 Understanding the Grassmannian 22:08 Why the positive Grassmannian matters 24:00 Positive Grassmannian explained in detail 29:28 Why the Positive Grassmannian Appears Everywhere 29:28 Surprising connections to physics, traffic, and nature 38:01 The amplituhedron and particle physics 43:00 Can AI discov

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