What did Alexander grothendieck discover?
Grothendieck’s genius was to recognize that there is a “being” hiding behind a given algebraic equation (or a system of equations) called a scheme. The spaces of solutions are mere projections, or shadows of this scheme. Moreover, he realized that these schemes inhabit a rich world.
Who solved Fermat’s Theorem?
theorist Andrew Wiles
Mathematician receives coveted award for solving three-century-old problem in number theory. British number theorist Andrew Wiles has received the 2016 Abel Prize for his solution to Fermat’s last theorem — a problem that stumped some of the world’s greatest minds for three and a half centuries.
Was Alexander Grothendieck married?
Grothendieck was married at least once, to Mireille Dufour. They had three children. He had two other sons with other women. Information about his survivors was not available.
How did grothendieck learn mathematics?
there were so many open questions that it didn’t matter.” Grothendieck confirms in Récoltes et Semailles that most of what he learned in geometry he learned from Serre, or taught himself, and calls Serre the “detonator” that provided the spark to ignite his explosion of ideas.
Who first proved Fermat’s Last Theorem?
The proposition was first stated as a theorem by Pierre de Fermat around 1637 in the margin of a copy of Arithmetica; Fermat added that he had a proof that was too large to fit in the margin.
Did Wiles solve Fermat’s Last Theorem?
In the 1630s, Pierre de Fermat set a thorny challenge for mathematics with a note scribbled in the margin of a page. More than 350 years later, mathematician Andrew Wiles finally closed the book on Fermat’s Last Theorem. Mathematical equations on chalkboard.
What is Grothendieck topology?
In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C that makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a site .
What is a sieve in Grothendieck topology?
In a Grothendieck topology, the notion of a collection of open subsets of U stable under inclusion is replaced by the notion of a sieve. If c is any given object in C, a sieve on c is a subfunctor of the functor Hom (−, c ); (this is the Yoneda embedding applied to c ).
What did Alexander Grothendieck contribute to mathematics?
He made important contributions in topology, algebra and logic. Alexander Grothendieck’s first name is often written as Alexandre, the form he adopted when living in France. His parents were Alexander Schapiro (1890-1942) and Johanna Grothendieck (1900-1957).
Who were the fellow students of Grothendieck?
One of Grothendieck’s fellow students was Jean-Pierre Serre. Since Grothendieck was at this time more interested in topological vector spaces than he was in algebraic topology, André Weil and Henri Cartan both advised him to go to Nancy where there was a strong team including Jean Dieudonné, Jean Delsarte, Roger Godement and Laurent Schwartz .