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

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Get 2 months of Curiosity Stream free by going to www.curiositystream.com/infinite and signing up with the promo code "infinite." It's said that Hermann Schubert performed the mathematical equivalent of "landing a jumbo jet blindfolded." Find out why. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Crisis in the Foundation of Mathematics | Infinite Series https://www.youtube.com/watch?v=KTUVdXI2vng 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 3264 and All That -- David Eisenbud and Joe Harris The Honeycomb Model of GLn(C) Tensor Products II -- Knutson, Tao, Woodward -- THE HONEYCOMB MODEL OF GLn(C) TENSOR PRODUCTS II: Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow Made by Kornhaber Brown (www.kornhaberbrown.com) Special Thanks to Allen Knutson and Balázs Elek Thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level! And thanks to Nicholas Rose and Mauricio Pacheco who are supporting us at the Lemma level!