From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6483 Path: news.gmane.org!not-for-mail From: Colin McLarty Newsgroups: gmane.science.mathematics.categories Subject: Grothendieck foundations draft on line Date: Fri, 21 Jan 2011 11:44:24 -0500 Message-ID: Reply-To: Colin McLarty NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1295640502 22568 80.91.229.12 (21 Jan 2011 20:08:22 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Fri, 21 Jan 2011 20:08:22 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Fri Jan 21 21:08:15 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.114]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1PgNHL-0001dy-5d for gsmc-categories@m.gmane.org; Fri, 21 Jan 2011 21:08:15 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:54750) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1PgNHD-0003nX-Ru; Fri, 21 Jan 2011 16:08:07 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1PgNH3-0006Sn-4I for categories-list@mlist.mta.ca; Fri, 21 Jan 2011 16:07:57 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6483 Archived-At: With thanks to several people here who contributed ideas, I have put on-line a draft giving two upper bounds on strength of methods in cohomological number theory: =A0By some careful formulation, the existing applications of Grothendieck methods in number theory (notably the Weil Conjectures and Fermat's Last Theorem) can be founded on a fragment of ZFC with the strength of simple type theory. The whole apparatus of the SGA essentially verbatim can be founded on a fragment weaker than the theory of V-sub-omega-times-3. The draft is at www.cwru.edu/artsci/phil/Groth found.pdf Thanks again to all who helped, and to all who will comment. best, Colin [For admin and other information see: http://www.mta.ca/~cat-dist/ ]