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Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories
September 23-28, 2002
Fields Institute
Toronto, ON, Canada

Organizers
George Janelidze, Georgian Academy of Sciences, Bodo Pareigis, University of Munich, Walter Tholen, York University

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The role of groupoids in homotopy theory
by
Myles Tierney
Rutgers University

Traditionally, with perhaps the exception of the fundamental groupoid, only groups are considered in homotopy theory. However, we will argue, with many examples, that even to understand the role of groups, the full generality of groupoids is indispensable. There will be some contact with descent theory via the notion of ``stack''.

Date received: June 3, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajf-37.