Feb 1
Stéphane Audran et Clelia Matania dans "Juste avant la Nuit" de Claude Chabrol (1971) - d'après le roman "The Thin Line" d'Edward Atiyah (1951) - janvier 2026.
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Stéphane Audran et Clelia Matania dans "Juste avant la Nuit" de Claude Chabrol (1971) - d'après le roman "The Thin Line" d'Edward Atiyah (1951) - janvier 2026.
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Atiyah and Grothendieck
Would love to know the background story here.
From George Peterzil on Facebook.
In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired. Without dreams there is no art, no mathematics, no life.
Michael Atiyah
Honestly, no matter what happens, the real heroes of today are the folks trying to run the livestream from an iphone while several thousand nerds overwhelm their streaming capacity.
Devil's Bargain
Via Mr H on Bluesky.
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Sir Michael Francis Atiyah
History by Rahul Basu, for his birthday. 4/22/1929-1/11/2019.
Remembering Sir Michael Atiyah on his 96th Birth anniversary. Atiyah's basic primary level education were in english schools of Khartoum (Sudan), but soon his love for geometry was quite visible, while he was preparing for higher education. It was 1947, when he won a scholarship to Trinity college. Atiyah was attracted to pure maths, he used to read books by E.M. Wright and G.H. Hardy on the "Introduction to the theory of Numbers," and he also studied some research articles on group theory during his two years.
Being still an undergraduate he wrote his first paper "A note on the tangents of a Twisted Cubic" in 1952. He got his PhD under the supervision of William Hodge in 1955 from Cambridge. Newton Hawley once visited Cambridge and he had an influence on atiyah…that made him study analytic fiber bundles, sheaf theory and algebraic geometry.
Atiyah had published some papers with Hodge on algebra…as a result those papers earned him the commonwealth fellowship, and a chance to visit Institute for Advanced Study, in Princeton. After his arrival to Princeton, he got to meet Isadore Singer, Raoul Bott, Jean-Pierre Serre. During his stay he regularly attended the seminars by Serre and it proved to be of greater significance for him, as he got the idea to delve deep into the study of Cohomology theory.
In 1959, Hirzebruch and Atiyah were successful to show the relation between the representation ring R(G) of a compact connected Lie group and Cohomology of its classifying space. This work was later extended to all compact Lie groups after the findings from Graeme Segal's thesis. Although Atiyah and Segal achieved a more general proof by demonstrating that under certain conditions the equivariant K-theory of X is isomorphic to the ordinary K-theory of space XG…that fibres over BG with fibre X. Here, Atiyah using K-theory gave a short and simple proof of the Hopf invariant problem.
In 1962, Atiyah and Singer had discovered the Dirac operator in context of Riemannian geometry and he was bit worried by geometric mean of the A-Genus of a spin manifold which is the index of the operator…later that was settled by Borel, who proved that for a spin manifold the index was an integer.
In 1966, Atiyah was awarded the Fields medal for the index theorem, K-theory. For next 15 years the pair of Atiyah-Singer gave newer proofs and introduced different perspectives…in process helped to bridge the gap between topology and analysis. Atiyah spend the first half of his career connecting mathematics to mathematics and devoted second half of his life in connecting mathematics to physics. Atiyah was one of the brightest minds our civilization has known.
Another sad day for mathematics: sir Michael Atiyah passed away today, at the age of 89. He was awarded the Fields Medal (in 1966) and the Abel prize (in 2004) for his best-known result—the Atiyah–Singer index theorem that connected analysis and topology.
A blogpost by Adam Goucher about what he believes is Michael Atiyah’s last ingredient for his claimed proof of the Riemann hypothesis (to be presented this Monday).