[Video] From modular forms to elliptic curves - The Langlands Program MphLee Long Time Fellow Posts: 374 Threads: 30 Joined: May 2013 06/18/2022, 09:59 AM New interesting video by Quanta Magazine, narrated by Alex Kontorovich, on the link between Elliptic curves and modular forms. The unifying vision that should connect the to mathematical objects is known as Langlands Progam. Quote:In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most ambitious mathematical feats ever attempted. Its symmetries imply deep, powerful and beautiful connections between the most important branches of mathematics. Many mathematicians agree that it has the potential to solve some of math's most intractable problems, in time, becoming a kind of “grand unified theory of mathematics," as the mathematician Edward Frenkel has described it. In a new video explainer, Rutgers University mathematician Alex Kontorovich takes us on a journey through the continents of mathematics to learn about the awe-inspiring symmetries at the heart of the Langlands program, including how Andrew Wiles solved Fermat's Last Theorem. The Biggest Project in Modern Mathematics Since recently James made an interesting link between modular forms and periodic functions I wanted to share this recent video. MSE MphLee Mother Law $(\sigma+1)0=\sigma (\sigma+1)$ S Law $\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)$ JmsNxn Ultimate Fellow Posts: 1,214 Threads: 126 Joined: Dec 2010 06/19/2022, 08:40 PM Lol, very interesting! Reminds me why I hate number theory so much, lol. « Next Oldest | Next Newest »

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