Sir Michael Francis Atiyah (1929 to 2019) was a British-Lebanese mathematician who specialized in geometry. With Isadore Singer he proved the Atiyah-Singer index theorem in 1963, connecting the topology of a manifold to the solutions of differential equations defined on it, and with Friedrich Hirzebruch he co-founded topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004. The Atiyah-Hirzebruch theorem, built on this K-theory work, gives one of the standing constraints on the Hodge conjecture: it shows the conjecture cannot hold at the level of integral cohomology classes, only rationally. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
BirthplaceHampstead, London, England 1 Nationality / CultureBritish (Lebanese descent) 1 Defining ContributionThe Atiyah-Singer index theorem (1963), proved jointly with Isadore Singer, and the co-founding of topological K-theory with Friedrich Hirzebruch. 1 Notable WorkAtiyah-Singer index theorem; co-founding topological K-theory 1 AwardFields Medal (1966); Abel Prize (2004) 1 Connections
Associated With
The Atiyah-Hirzebruch theorem constrains the Hodge conjecture, showing it cannot hold at the level of integral cohomology classes.
Source Clay Mathematics Institute
In Branch
Source Michael Atiyah (Wikipedia)
Source Michael Atiyah (Wikipedia)
Proofs Credited
Sources
1. Michael Atiyah (Wikipedia)
Wikipediainfobox
Born Michael Francis Atiyah (1929-04-22) 22 April 1929 Hampstead, London, England ... Died 11 January 2019 (2019-01-11) (aged 89) Edinburgh, Scotland ... Awards Berwick Prize (1961) Fields Medal (1966) Royal Medal (1968) De Morgan Medal (1980) Copley Medal (1988) Abel Prize (2004)
lead section
Sir Michael Francis Atiyah was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah-Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004.
Lead section, gender reference
His contributions include the Atiyah-Singer index theorem and co-founding topological K-theory.
View the Source Clay Mathematics Institute
Clay Mathematics InstituteAssociated With: Hodge Conjecture, Section 2, Remark (iv), p. 2Quote, Associated With: Hodge Conjecture, Section 2, Remark (iv), p. 2
the Atiyah and Hirzebruch theorem [2] that the Hodge conjecture cannot hold integrally
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