Homological methods play an important role in many mathematical fields. In the representation theory of algebras and groups the power of the homological methods is well-known, as was shown, for example, by the Auslander-Reiten theory, tilting theory and Rickard’s Morita theory for derived categories. To introduce these useful tools to our graduate students, as well as to obtain new information of advances in the homological representation theory, we shall organize a series of activities on the theme “Homological Methods in Representation theory ”.

This is the first of the series of the activities. The seminar is a short course on hyperhomological algebra, in which the usual homological algebra of modules over algebras will be extended to complexes over modules.

      The lecturer of this course is Prof. Dr. Hans-Bjorn Foxby, University of Copenhagen, Denmark, who is one of the experts on the subject and related topics. (Of course, his interests are not only this subject.)

The program of the seminar （preliminary）is as follows.

BNU algebra research group, September 2005