- #1
- 7,643
- 1,598
Another great has gone.
https://royalsociety.org/news/2019/...dent-of-the-royal-society-sir-michael-atiyah/
https://royalsociety.org/news/2019/...dent-of-the-royal-society-sir-michael-atiyah/
I believe the world is all the richer for his works last September, if they are viewed as they should be viewed: a conjecture by a giant, possibly who realizes that cognitive decline has begun, instead of a proper proof.jedishrfu said:One wonders if his last talk on the Riemann Hypothesis proof was a Fermat moment.
Replicating the function is difficult, no doubt see e.g. the point @mitchell porter makes:jedishrfu said:Apparently, the proof hinged on the mysterious Todd function which no one knew how he had/if he had constructed it.
But it certainly is not an insurmountable problem using 8.11 and I'm sure it has privately been achieved by others as well; however, having said that, running the resulting function on a computer seems to be problematic to say the very least.mitchell porter said:Here we should face again the fact that no participant in the Internet discussions around Atiyah's claims has understood his two papers in anything like a comprehensive way. People just focus on some little part that they think they understand. For example, it's only now that I really noticed the actual formula for "ж"! ... equation 8.11, a double limit of a sum of "Bernoulli numbers of higher order". And when I check the reddit attempt to reproduce Atiyah's calculation, 8.11 is all but ignored.
Sir Michael Atiyah was a renowned mathematician who made significant contributions to different areas of mathematics, such as topology, geometry, and algebraic geometry. He is best known for his work on the Atiyah-Singer index theorem, which revolutionized the field of differential geometry and has since been applied in various areas of mathematics and physics.
A tribute to Sir Michael Atiyah serves as a way to honor and recognize his contributions to the field of mathematics. It also allows colleagues, students, and admirers to come together and celebrate his achievements and legacy.
Sir Michael Atiyah is known for several groundbreaking theorems, including the Atiyah-Singer index theorem, the Atiyah-Bott fixed point theorem, and the Atiyah-Hirzebruch spectral sequence. He also made significant contributions to the theory of vector bundles, K-theory, and topological quantum field theory.
Sir Michael Atiyah's work has had a profound impact on the development of mathematics. His theorems and ideas have been used by mathematicians and physicists around the world and have led to new breakthroughs and insights in various fields. He also mentored and collaborated with numerous mathematicians, making a significant impact on the next generation of researchers.
Sir Michael Atiyah's legacy in mathematics is immense. He was a prolific researcher who made groundbreaking contributions to different areas of mathematics, and his work continues to influence and inspire current and future generations of mathematicians. He also received numerous awards and honors, including the Fields Medal and the Abel Prize, for his exceptional contributions to the field.