Yang-Mills, Hodge, and Birch and Swinnerton-Dyer - Million Dollar Equations Part 2 with Tom Crawford

Tom Crawford is back to describe the remaining three million dollar maths problems. Watch the Q&A: https://youtu.be/M4falMG3GIA Watch the first four problems: https://youtu.be/f251NkeDVB8 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. 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- This talk was recorded on 24 November 2020. --- A very special thank you to our Patreon supporters who help make these videos happen, especially: János Fekete, Mehdi Razavi, Mark Barden, Taylor Hornby, Rasiel Suarez, Stephan Giersche, William 'Billy' Robillard, Scott Edwardsen, Jeffrey Schweitzer, Gou Ranon, Christina Baum, Frances Dunne, jonas.app, Tim Karr, Adam Leos, Michelle J. Zamarron, Andrew Downing, Fairleigh McGill, Alan Latteri, David Crowner, Matt Townsend, Anonymous, Andrew McGhee, Roger Shaw, Robert Reinecke, Paul Brown, Lasse T. Stendan, David Schick, Joe Godenzi, Dave Ostler, Osian Gwyn Williams, David Lindo, Roger Baker, Greg Nagel, and Rebecca Pan. --- 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

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