Emma Jonson Who was Alexander Grothendieck and what did he do?
Alexander Grothendieck (/ˈɡroʊtəndiːk/; German: [ˈɡroːtn̩diːk]; French: [ɡʁɔtɛndik]; 28 March 1928 – 13 November 2014) was a stateless mathematician (naturalized French in 1971) who became the leading figure in the creation of modern algebraic geometry.
When did Alexander Grothendieck write the sketch of a programme?
In 1984, Grothendieck wrote the proposal Esquisse d’un Programme (“Sketch of a Programme”) for a position at the Centre National de la Recherche Scientifique (CNRS). It describes new ideas for studying the moduli space of complex curves.
When did Alexander Grothendieck start working on vector spaces?
His first works on topological vector spaces in 1953 have been successfully applied to physics and computer science, culminating in a relation between Grothendieck inequality and the Einstein-Podolsky-Rosen paradox in quantum physics.
When did Otto Grothendieck become a French citizen?
Grothendieck was born in Weimar Germany. In 1938, aged ten, he moved to France as a refugee. Records of his nationality were destroyed in the fall of Germany in 1945 and he did not apply for French citizenship after the war.
How is the Tarski Grothendieck set theory different from ZFC?
Tarski–Grothendieck set theory ( TG, named after mathematicians Alfred Tarski and Alexander Grothendieck) is an axiomatic set theory. It is a non-conservative extension of Zermelo–Fraenkel set theory (ZFC) and is distinguished from other axiomatic set theories by the inclusion of Tarski’s axiom,…
Which is the axiom of Tarski-Grothendieck set theory?
Tarski-Grothendieck set theory starts with conventional Zermelo-Fraenkel set theory and then adds “Tarski’s axiom”. We will use the axioms, definitions, and notation of Mizar to describe it. Mizar’s basic objects and processes are fully formal; they are described informally below.
What was the original text of Grothendieck’s recoltes and Semailles?
This is an English translation of a post written in French by my father Gérard Lebrun. The pages numbers refer to the original text of Grothendieck’s work Récoltes et Semailles (“Crops and Seeds”).