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Alexander Grothendieck has died

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Re: Alexander Grothendieck has died

#2
Some of the best papers about his life and his work:

From the notices of the AMS: http://www.ams.org/notices/200409/fea-grothendieck-part1.pdf http://www.ams.org/notices/200410/fea-grothendieck-part2.pdf

By Pierre Cartier: http://xahlee.info/math/i/Alexander_Grothendieck_cartier.pdf

By Pierre Deligne (in French): http://www.emis.de/journals/SC/1998/3/pdf/smf_sem-cong_3_11-...

Re: Alexander Grothendieck has died

#4
Wow, I swear I was just wondering last night if he was still alive or not, as I was reading about him in Serge Lang's Algebra. Personal coincidence for me.

May we never forget the Grothendieck prime, 57.

Re: Alexander Grothendieck has died

#5
post #4

Wow, I swear I was just wondering last night if he was still alive or not, as I was reading about him in Serge Lang's Algebra . Personal coincidence for me. May we never forget the Grothendieck prime, 57.

For those unfamiliar with the reference (from http://www.ams.org/notices/200410/fea-grothendieck-part2.pdf):

  One striking characteristic of Grothendieck’s
  mode of thinking is that it seemed to rely so little
  on examples. This can be seen in the legend of the
  so-called “Grothendieck prime”. In a mathematical
  conversation, someone suggested to Grothendieck
  that they should consider a particular prime number.
  “You mean an actual number?” Grothendieck asked. 
  The other person replied, yes, an actual prime number. 
  Grothendieck suggested, “All right, take 57."

  But Grothendieck must have known that 57 is not
  prime, right? Absolutely not, said David Mumford
  of Brown University. “He doesn’t think concretely.”

Re: Alexander Grothendieck has died

#7
post #5
post #4

Wow, I swear I was just wondering last night if he was still alive or not, as I was reading about him in Serge Lang's Algebra . Personal coincidence for me. May we never forget the Grothendieck prime, 57.

For those unfamiliar with the reference (from http://www.ams.org/notices/200410/fea-grothendieck-part2.pdf ): One striking characteristic of Grothendieck’s mode of thinking is that it seemed to rely so little on examples. This can be seen in the legend of the so-called “Grothendieck prime”. In a mathematical conversation, someone suggested to Grothendieck that they should consider a particular prime number. “You mean…

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Re: Alexander Grothendieck has died

#9
Grothendieck's comments on creativity have been very important in my life, especially the following quote (in translation from the French):

"To state it in slightly different terms: in those critical years [roughly from age 17 to 20] I learned how to be alone."

"This formulation doesn't really capture my meaning. I didn't, in any literal sense learn to be alone, for the simple reason that this knowledge had never been unlearned during my childhood. It is a basic capacity in all of us from the day of our birth. However these 3 years of work in isolation, when I was thrown onto my own resources, following guidelines which I myself had spontaneously invented, instilled in me a strong degree of confidence, unassuming yet enduring, in my ability to do mathematics, which owes nothing to any consensus or to the fashions which pass as law...."

"By this I mean to say: to reach out in my own way to the things I wished to learn, rather than relying on the notions of the consensus, overt or tacit, coming from a more or less extended clan of which I found myself a member, or which for any other reason laid claim to be taken as an authority. This silent consensus had informed me, both at the lyé and at the university, that one shouldn't bother worrying about what was really meant when using a term like "volume", which was "obviously self-evident", "generally known", "unproblematic", etc. I'd gone over their heads, almost as a matter of course, even as Lesbesgue himself had, several decades before, gone over their heads. It is in this gesture of "going beyond", to be something in oneself rather than the pawn of a consensus, the refusal to stay within a rigid circle that others have drawn around one - it is in this solitary act that one finds true creativity. All others things follow as a matter of course."

Very late in his life, Grothendieck asked for people to cease re-publishing his work, even brief excerpts. (See: http://sbseminar.wordpress.com/2010/02/09/grothendiecks-lett... ) So I have mixed feelings about quoting the above. But I do so in the hope that it can help others as it has helped me.

Re: Alexander Grothendieck has died

#10
The aspects that struck me the most about this article was how passionately political his parents were. Moving around Europe in an effort to outright escape/support various political factions. In fact, much of their apparent political views and the people they were supporting seemed to be one vast pool of contradictions (as most European politics were in those days -- thus World War II). And it gave me a possible picture of why Alexandre may have used mathematics as an escape from the ferocious world he grew up around until maybe he became disenchanted with the idea of having any part of this same world at all? I also remember reading about him partaking in anti-nuclear rallies a while back. Idk, just my small take away. :)
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