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Host: University of Potsdam
Homepage: http://oldwww.math.uni-potsdam.de/alg1/galoisconf1.htm
Organizers: K. Denecke, S.L. Wismath
Description:
The general concept of a Galois connnection is one of the most important mathematical concepts and is used in almost all
branches of Mathematics. The leading idea on which Galois connections are based is to switch from one context A to another
context B which is more known and better understood. This will be done using a pair of operations with certain properties. The
most famous and perhaps oldest example is the Galois connection between certain extensions of a ground field and subgroups
of the group of all relative automorphisms of this field. Field-theoretic concepts can be expressed by group-theoretic ones and
conversely. This is the idea of the classical Galois theory.
The aim of the conference is to exchange ideas, knowledge and experiences on Galois connections in different fields and on different levels. The proposed main topics of the conference are:
- The Category-theoretical approach, pairs of adjoint functors with certain properties
- Galois connections in General Algebra
- Characterization of complete sublattices of a complete lattice
- Galois closed subrelations
- Application of the general Galois Theory
Submitted by: K. Denecke
Date received: December 19, 2000
© 2008 Atlas Conferences Inc.