From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/372 Path: news.gmane.org!not-for-mail From: categories Newsgroups: gmane.science.mathematics.categories Subject: Notes of two lectures Date: Wed, 30 Apr 1997 20:00:16 -0300 (ADT) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241016921 25436 80.91.229.2 (29 Apr 2009 14:55:21 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 14:55:21 +0000 (UTC) To: categories Original-X-From: cat-dist Wed Apr 30 20:01:55 1997 Original-Received: by mailserv.mta.ca; id AA07380; Wed, 30 Apr 1997 20:00:16 -0300 Original-Lines: 49 Xref: news.gmane.org gmane.science.mathematics.categories:372 Archived-At: Date: Wed, 30 Apr 1997 11:39:29 +1100 From: Ross Street With computers, things we expect to be simple never are! Last week I announced the placement on the WWW of the notes (see the short description below) of my two lectures at the Conference on Higher Category Theory and Mathematical Physics, Northwestern University (Evanston, Illinois; 28-30 March 1997). The site is: I'll spare you the details of the problems, but, up until today, what was at this site was an old version prepared before the conference. This is not what I had intended. I am truly sorry to people who have downloaded that version already. The correct version is NOW at the site. There still seems to be a problem when the document is viewed (by some "ghost" technology) but it does (at least for us) print out pretty well. There is a colour table on page 2 which even seems to view correctly! I am extremely grateful to Ross Moore and Sjoerd Crans for helping me out of the mess I (and my little Mac) created. I invite people who have downloaded the old version to try again; I am really sorry. Title: The role of Michael Batanin's monoidal globular categories Lecture I: Globular categories and trees Lecture II: Higher operads and weak omega-categories This is a report on recent work of Michael Batanin. The goal of his work is to provide an environment for defining the concepts associated with weak omega-categories and for developing the ensuing theory. The approach is "globular". Apart from providing a precise definition of weak omega-category, the work gives a new algebra of planar trees and uses them to define higher operads which I believe will find many other applications. Note that, in the meantime (and again not without trouble!), Michael Batanin has announced his paper containing the full details of this part of his work. It is available at: Happy surfing and enjoy the trees. Ross