Life
Cartan studied at the Lycée Hoche in Versailles, then at the École Normale Supérieure in Paris, receiving his doctorate in mathematics. He taught at the University of Strasbourg from November 1931 until the outbreak of the Second World War, after which he held academic positions at a number of other French universities, spending the bulk of his working life in Paris.
Cartan is known for work in algebraic topology, in particular on cohomology operations, the method of "killing homotopy groups", and group cohomology. His seminar in Paris in the years after 1945 covered ground on several complex variables, sheaf theory, spectral sequences and homological algebra, in a way that deeply influenced Jean-Pierre Serre, Armand Borel, Alexander Grothendieck and Frank Adams, amongst others of the leading lights of the younger generation. The number of his official students was small, but includes Adrien Douady, Roger Godement, Max Karoubi, Jean-Louis Koszul, Jean-Pierre Serre and René Thom.
Cartan also was a founding member of the Bourbaki group and one of its most active participants. His book with Samuel Eilenberg Homological Algebra (1956) was an important text, treating the subject with a moderate level of abstraction with the help of category theory.
Cartan used his influence to help obtain the release of some dissident mathematicians, including Leonid Plyushch and Jose Luis Massera. For his humanitarian efforts he received the Pagels Award from the New York Academy of Sciences.
The Cartan model in algebra is named after Cartan.
Cartan died on 13 August 2008 at the age of 104. His funeral took place the following Wednesday on 20 August in Die, Drome.
Read more about this topic: Henri Cartan
Famous quotes containing the word life:
“And he thought to himself...., ‘Soul, you have ample goods laid up for many years; relax, eat, drink, be merry.’ But God said to him, ‘You fool! This very night your life is being demanded of you. And the things you have prepared, whose will they be?’”
—Bible: New Testament, Luke 12:17-20.
“The truth is, I do indulge myself a little the more in pleasure, knowing that this is the proper age of my life to do it; and, out of my observation that most men that do thrive in the world do forget to take pleasure during the time that they are getting their estate, but reserve that till they have got one, and then it is too late for them to enjoy it.”
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“Man’s main task in life is to give birth to himself, to become what he potentially is. The most important product of his effort is his own personality.”
—Erich Fromm (1900–1980)