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
We plan main lectures on these topics and contributed talks. The conference will start on March 15, 3 p.m. and finish on March 18, 12 p.m.
Further, there is an idea to publish a conference volume on Galois connections.
If you want to take part in this conference, please click here and send us your registration form by November 25, 2000.
S. L. Wismath
K. Denecke