The Million Dollar Equations - with Tom Crawford

In the year 2000 it was announced that seven of the biggest unsolved problems in mathematics would each be given a $1million prize. Only one has been solved. Watch the Q&A: https://youtu.be/AFc7kGfLSIc Subscribe for regular science videos: http://bit.ly/RiSubscRibe The seven million dollar equations are: the Riemann hypothesis, Navier-Stokes equations, P vs NP, the Poincare conjecture, Yang-Mills mass-gap hypothesis, the Birch and Swinnerton-Dyer conjecture, and the Hodge conjecture. In this talk, explains four of them. Chapters: 00:00 - Introduction 05:30 - The seven Millennium Prize problems 09:00 - The Riemann hypothesis 30:41 - P vs NP 46:16 - Poincare conjecture 58:57 - Navier-Stokes equations Tom Crawford is a mathematician at St Edmund Hall at the University of Oxford where he teaches maths to the first and second year undergraduates and visiting students. Tom completed his PhD in applied maths at the University of Cambridge in 2016, where he conducted experiments looking at where river water goes when it enters the ocean. Tom’s website: https://tomrocksmaths.com/ Tom’s YouTube channel: https://www.youtube.com/tomrocksmaths Tom on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ2TNTA79reKQ6S88kTvDR- --- A very special thank you to our Patreon supporters who help make these videos happen, especially: Adam Leos, Alan Latteri, Andrew Downing, Andrew McGhee, Andrew Weir, Anonymous, Christina Baum, Dave Ostler, David Crowner, David Lindo, David Schick, Fairleigh McGill, Frances Dunne, Gou Ranon, Greg Nagel, Jan Všetíček, Jeffrey Schweitzer, Joe Godenzi, jonas.app, Kellas Lowery, Lasse T. Stendan, Martin Steed, Matt Townsend, Michelle J. Zamarron, Osian Gwyn Williams, Paul Brown, Paul Philippov, Rebecca Pan, Robert Reinecke, Roger Baker, Roger Shaw, Scott Edwardsen, Stephan Giersche, Tim Karr, and William 'Billy' Robillard. --- The Ri is on Patreon: https://www.patreon.com/TheRoyalInstitution and Twitter: http://twitter.com/ri_science and Facebook: http://www.facebook.com/royalinstitution and Tumblr: http://ri-science.tumblr.com/ Our editorial policy: http://www.rigb.org/home/editorial-policy Subscribe for the latest science videos: http://bit.ly/RiNewsletter Product links on this page may be affiliate links which means it won't cost you any extra but we may earn a small commission if you decide to purchase through the link.

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