Alexander Grothendieck (1928 to 2014) pioneered scheme theory, establishing it as the foundation of modern algebraic geometry, and developed the etale and l-adic cohomology theories built on that foundation. He was awarded the Fields Medal in 1966 and is considered by many to be the greatest mathematician of the twentieth century. He was stateless for most of his working life, travelling on a Nansen passport, and was naturalized French only in the early 1980s. In a 1969 paper he showed that a further conjecture Hodge had proposed alongside the Hodge conjecture proper was false for trivial reasons, and supplied a corrected version of it. 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
Death PlaceSaint-Lizier, Ariege, France 1 Nationality / CultureStateless for most of his working life, travelling on a Nansen passport; naturalized French in the early 1980s. 1 Defining ContributionScheme theory, established as the foundation of modern algebraic geometry, and the etale and l-adic cohomology theories built on it. 1 Notable WorkRefounded algebraic geometry through scheme theory (EGA, SGA) and topos theory; unified algebraic geometry with number theory and topology; foundational contributions to commutative algebra, homological algebra, sheaf theory and category theory 1 Connections
Associated With
Grothendieck showed that a further conjecture Hodge proposed alongside the Hodge conjecture proper was false for trivial reasons, and gave a corrected version of it.
Source Clay Mathematics Institute
Conjectures Posed
In Branch
Source Alexander Grothendieck (Wikipedia)
Source Alexander Grothendieck (Wikipedia)
Proofs Credited
Sources
1. Alexander Grothendieck (Wikipedia)
Wikipediainfobox
Born (1928-03-28) 28 March 1928 Berlin, Prussia, Germany ... Died 13 November 2014 (2014-11-13) (aged 86) Saint-Lizier, Ariege, France ... Known for Renewing algebraic geometry and synthesis between it and number theory and topology
infobox and lead section
became a stateless person for at least the majority of his working life and he travelled on a Nansen passport
lead section
Alexander Grothendieck, later Alexandre Grothendieck in French, was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory, and category theory to its foundations, while his so-called relative perspective led to revolutionary advances in many areas of pure mathematics.
Lead section, gender reference
His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory, and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.
View the Source Clay Mathematics Institute
Clay Mathematics InstituteAssociated With: Hodge Conjecture, Section 2, Remark (vi), p. 2Quote, Associated With: Hodge Conjecture, Section 2, Remark (vi), p. 2
Grothendieck observed that this further conjecture is trivially false, and gave a corrected version of it in [5].
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