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Host: Fields Institute
Homepage: http://www.fields.utoronto.ca/programs/scientific/02-03/galois_and_hopf/
Organizers: G. Janelidze, B. Pareigis, W. Tholen
Description:
The goal of the meeting is to spread and to advance categorical methods and their application amongst researchers
working in three overlapping areas of algebra, namely in the study of
(I) algebraic structures in monoidal categories and their classical examples, such as Hopf, Frobenius, and Azumaya algebras, and others, particularly those occurring in quantum field theory,
(II) Galois theory vis-a-vis Grothendieck's descent theory, as well as the general theory of separability and decidability, applied particularly to the structures mentioned in (I),
(III) homological algebra of non-abelian structures, such as groups, rings and (associative or Lie) algebras, and its extension to the structures mentioned in (I).
The categorical methods used will include
(i) 2- and higher-dimensional categorical structures, especially symmetric/braided monoidal categories,
(ii) categorical Galois theory, monads and fibrational descent theory, and
(iii) the recently developed theory of protomodular and, more specifically, semiabelian categories, which provides a convenient categorical setting to pursue classical group-theroretic and homological concepts in a very general context.
Date received: November 23, 2001, revised April 16, 2002
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