From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4068 Path: news.gmane.org!not-for-mail From: Bill Lawvere Newsgroups: gmane.science.mathematics.categories Subject: Beck's 1967 Descent Talk Date: Mon, 5 Nov 2007 21:56:34 -0500 (EST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII; format=flowed X-Trace: ger.gmane.org 1241019699 11557 80.91.229.2 (29 Apr 2009 15:41:39 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:41:39 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Tue Nov 6 08:56:29 2007 -0400 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Tue, 06 Nov 2007 08:56:29 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1IpNqz-0000MX-50 for categories-list@mta.ca; Tue, 06 Nov 2007 08:48:25 -0400 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 20 Original-Lines: 34 Xref: news.gmane.org gmane.science.mathematics.categories:4068 Archived-At: In the Bulletin of the AMS Volume 74 (1968) page 91 one sees that a meeting of the Society was held on Saturday November 25th, 1967 at the University of Illinois in Urbana, with over 200 people attending. There was a session of selected 20-Minute papers on Categorical Algebra, arranged by Professor Saunders Mac Lane. Papers by Barr, Beck, Gray, Lawvere, Linton were included. The abstracts for the talks at that meeting were published in the Notices of the AMS Volume 14 (1967). On page 938 one finds Jon Beck's abstract: 652-8. Jon Beck, Cornell University, Ithaca, New York. Descent and standard constructions (triples). There is a close relationship between descent theory in algebraic geometry and the theory of categories which are definable by means of standard constructions (tripleable categories). The "tripleableness theorem" sheds some light on descent criteria. The form of Cech cohomology used in descent theory is an appropriate triple cohomology theory. Its interpretation is discussed from the triple point of view. (Received October 2, 1967.) It is possible that someone still has notes of that lecture 40 years later. Bill Lawvere ***********************************************************