From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/8400 Path: news.gmane.org!not-for-mail From: David Roberts Newsgroups: gmane.science.mathematics.categories Subject: Simplified definition of scheme proposed by Grothendieck Date: Fri, 28 Nov 2014 17:04:53 +1030 Message-ID: Reply-To: David Roberts NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 X-Trace: ger.gmane.org 1417181075 32498 80.91.229.3 (28 Nov 2014 13:24:35 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 28 Nov 2014 13:24:35 +0000 (UTC) To: "categories@mta.ca list" Original-X-From: majordomo@mlist.mta.ca Fri Nov 28 14:24:30 2014 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.127]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1XuLXA-0008OV-S3 for gsmc-categories@m.gmane.org; Fri, 28 Nov 2014 14:24:29 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:52112) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1XuLWI-0005yJ-VF; Fri, 28 Nov 2014 09:23:34 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1XuLWI-0000MW-CQ for categories-list@mlist.mta.ca; Fri, 28 Nov 2014 09:23:34 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:8400 Archived-At: 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/ ]