Centre de Recherche en Théorie des Catégories
-- Montréal --
Category Theory Research Center
What is Category Theory?
Theory at McGill A personal account by Marta Bunge.
Theory - an expository article by Jean-Pierre Marquis from the Stanford Encyclopedia of Philosophy.
Logic, an entry by Joachim Lambek from the Encyclopaedia of
another article from the Encyclopaedia of Mathematics (Springer).
Quantization, and Much More - an introduction by John Baez. (You
might also explore his series "This Week's Finds in Mathematical
Physics" which often has references to
category theory, and particularly
theory and more
n-category theory. You can also look at these slides:
Triples and Theories A classic text by M Barr and C Wells, now
freely available on-line (TAC Reprints). (Also available at the
authors' own website.)
Category Theory for Computing Science
(Another classic text by M Barr and C Wells, published by the CRM.)
Now freely available here,
on the authors' webpage.
Acyclic Models (Ordering information for a recent book by M Barr.)
Now freely available here.
Coverings of Toposes (Ordering information for a recent book by M
Bunge and J Funk.)
- An Intuitive
Introduction to Motivic Homotopy Theory - lecture by Vladimir
Voevodsky (American Academy of Arts and Sciences, October 2002).
[A quote: "Categories: one of the most important ideas of 20th century mathematics"]
Les Dérivateurs Texte d'Alexandre Grothendieck (in progress)
(This is not an introductory text, but rather is a "historic" document
from a legendary category theorist.)
Récoltes et Semailles (A translation into English, in progress,
of Grothendieck's "Reflections".)
- Visiting Grothendieck (by Roy Lisker)
The Grothendieck Circle
etc (free downloads)
- List of books on
Category Theory (deemed "gentle" enough for philosophers!)
Some past seminars, conferences, and meetings in Montreal
Octoberfest 2012, Montreal, 27 - 28 October, 2012
Models, Logics and Higher-Dimensional Categories - a meeting in tribute to
the work of Mihaly Makkai, CRM, Montreal, 18-20 June 2009
workshop held at McGill in conjunction with the Makkaifest, 18 June 2009
volume is available in the CRM Proceedings series.
Category Theory Meeting, October 16-17, 2004
60th birthday, 11-12-13 April 2003
Category Theory Meeting, October 16-17, 1999
The CRTC/CTRC held a special 3-day conference in May 1997, in
honour of Michael Barr's sixtieth birthday.
A special issue of the
Journal of Pure and Applied Algebra devoted to the
of this conference has been published:
[Available at Science
In addition, several tributes of a more personal nature are available on
Joachim Lambek, 1922-2014
Lambek, FRSC, December 5, 1922 - June 23, 2014 A tribute essay in
the Spring 2015 issue of Le Bulletin (21-1), Centre de Recherches
Mathématiques (pp 12-13).
21 September 2013 at the CRM,
celebrating the career (and 90th birthday) of Prof Joachim Lambek.
The Department of Mathematics and Statistics of McGill University
held a day of scientific activities to celebrate the 80th
birthday of Professor Joachim Lambek on Thursday, December 5th, 2002.
is available on this site.
On December 5th, 1997, a one-day symposium was held in honour of
Joachim Lambek's 75th birthday: the program and some photos of that
occasion may be found
In addition, the journals Theory and
Applications of Categories and
Mathematical Structures in Computer Science
have published special
volumes in honour of the work of our colleague Joachim Lambek, and in
celebration of his 75th birthday. Their
tables of contents are here.
The MSCS volume has appeared as Vol 10 (2000), No. 2;
the TAC volume has appeared as
Volume 6 (1999).
A further volume of papers in linguistics, in celebration of his
80th birthday, has been published by CSLI
details may be found here. You can also find
of contents here.
Papers and home pages for members and some (past) visitors of the Centre:
Some Maths and Category Theory Sites
For comments or help, please contact