[Video] From modular forms to elliptic curves - The Langlands Program
#1
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 \(\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)\)
#2
Lol, very interesting!

Reminds me why I hate number theory so much, lol.


Possibly Related Threads…
Thread Author Replies Views Last Post
  Names for different forms of tetration Daniel 1 865 09/15/2022, 07:38 AM
Last Post: bo198214
Question Continuously Iterating Modular Arithmetic Catullus 17 4,730 07/22/2022, 02:16 AM
Last Post: MphLee
Question Closed Forms for non Integer Tetration Catullus 1 886 07/08/2022, 11:32 AM
Last Post: JmsNxn
  The weird connection between Elliptic Functions and The Shell-Thron region JmsNxn 1 1,359 04/28/2022, 12:45 PM
Last Post: MphLee
  Trying to get Kneser from beta; the modular argument JmsNxn 2 1,595 03/29/2022, 06:34 AM
Last Post: JmsNxn
  Jabotinsky IL and Nixon's program: a first categorical foundation MphLee 10 8,068 05/13/2021, 03:11 PM
Last Post: MphLee
  [rule 30] Is it possible to easily rewrite rule 30 in terms of modular arithmetic ? tommy1729 0 3,779 07/24/2014, 11:09 PM
Last Post: tommy1729
  Tetration and modular arithmetic. tommy1729 0 4,429 01/12/2014, 05:07 AM
Last Post: tommy1729
  modular tetration tommy1729 0 4,596 12/26/2010, 10:11 PM
Last Post: tommy1729
  Elliptic Superfunctions BenStandeven 2 8,214 08/20/2010, 11:56 AM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)