* Simplified definition of scheme proposed by Grothendieck
@ 2014-11-28 6:34 David Roberts
0 siblings, 0 replies; 3+ messages in thread
From: David Roberts @ 2014-11-28 6:34 UTC (permalink / raw)
To: categories@mta.ca list
Dear all,
in the TAC reprint 'Comments on the development of topos theory', Lawvere writes
> during that [1973 stay in Buffalo, Grothendieck] also advocated the
> abandonment of his earlier complicated definition of 'scheme', but
> unfortunately the simpler alternative he offered does not seem to have
> found its way into the textbooks
What would this simplified definition be?
Also, reference is made to a document held in Jack Duskin's files made
during this visit. If this document still exists, I would exhort
whoever has it to donate it, or a high-quality scan of it, to the
Grothendieck Circle people. After G's passing, his works have gone
back online, apparently with the permission of his family, see
http://www.grothendieckcircle.org/
Best regards,
David
--
Dr David Roberts
Research Associate
School of Mathematical Sciences
University of Adelaide
SA 5005
AUSTRALIA
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
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* Re: Simplified definition of scheme proposed by Grothendieck
[not found] <CAL+Rf9en3kMA9CiUsTsW6SGfGtrY9NFcWC8sNuwe23QuRHjmww@mail.gmail.com>
@ 2014-11-28 23:53 ` David Roberts
0 siblings, 0 replies; 3+ messages in thread
From: David Roberts @ 2014-11-28 23:53 UTC (permalink / raw)
To: Venkata Rayudu Posina; +Cc: categories@mta.ca list
Ah, thanks, that's exactly the sort of explanation I was hoping for.
And after I sent my message, I thought that Gaeta's notes might be
relevant (they cam be found at
http://www.math.jussieu.fr/~leila/grothendieckcircle/FuncAlg.pdf)
Thanks also to those that responded privately. Thomas Holder in
particular pointed to further messages from Lawvere reproduced at
http://mathoverflow.net/a/52894/4177
in the context of the general concept of Nullstellensatz.
Best regards,
David
On 29 November 2014 at 00:23, Venkata Rayudu Posina
<posinavrayudu@gmail.com> wrote:
> The following post
>
> http://permalink.gmane.org/gmane.science.mathematics.categories/2228
>
> might answer the following question:
>
> On Thu, Nov 27, 2014 at 10:34 PM, David Roberts
> <david.roberts@adelaide.edu.au> wrote:
>> Dear all,
>>
>> in the TAC reprint 'Comments on the development of topos theory', Lawvere writes
>>
>>> during that [1973 stay in Buffalo, Grothendieck] also advocated the
>>> abandonment of his earlier complicated definition of 'scheme', but
>>> unfortunately the simpler alternative he offered does not seem to have
>>> found its way into the textbooks
>>
>> What would this simplified definition be?
--
Dr David Roberts
Research Associate
School of Mathematical Sciences
University of Adelaide
SA 5005
AUSTRALIA
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
^ permalink raw reply [flat|nested] 3+ messages in thread
* Re: Simplified definition of scheme proposed by Grothendieck
@ 2014-11-28 13:53 Venkata Rayudu Posina
0 siblings, 0 replies; 3+ messages in thread
From: Venkata Rayudu Posina @ 2014-11-28 13:53 UTC (permalink / raw)
To: David Roberts; +Cc: categories@mta.ca list
The following post
http://permalink.gmane.org/gmane.science.mathematics.categories/2228
might answer the following question:
On Thu, Nov 27, 2014 at 10:34 PM, David Roberts
<david.roberts@adelaide.edu.au> wrote:
> Dear all,
>
> in the TAC reprint 'Comments on the development of topos theory', Lawvere writes
>
>> during that [1973 stay in Buffalo, Grothendieck] also advocated the
>> abandonment of his earlier complicated definition of 'scheme', but
>> unfortunately the simpler alternative he offered does not seem to have
>> found its way into the textbooks
>
> What would this simplified definition be?
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
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2014-11-28 6:34 Simplified definition of scheme proposed by Grothendieck David Roberts
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2014-11-28 23:53 ` David Roberts
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