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The aim of the seminar This is a short course for graduate students in representation theory and related fields to learn basic knowledge and information on the connections between the representation theory and the non-commutative projective geometry. As is known, the classification of 3-dimensional non-commutative projective spaces involves the A-infinity algebras, Koszul algebras and derived categories. The latter two subjects are also of interest in the representation theory. This course is intended to introduce and discuss some interaction of the topics--representation theory and non-commutative geometry, as well as some advances on the topics. The topics of the seminar This time we mainly concentrate on basic knowledge and information of A-infinity algebras, Koszul algebras and higher t-Koszul algebras, and related topics. Of course, during the seminar, some of the new developments on the subjects will also be introduced. The lecturers of the seminar Prof. Dr. LU Diming, Zhejiang University, has done many works on classification of non-commutative projective spaces via A-infinity algebras and Ext-algebras (jointly with J. H. Palmieri, Q.S.Wu and J.J.Zhang). Prof. Dr. GUO Jinyun, Hunan Normal University, has done many works on Koszul algebras and modules (independently, or jointly with R.Martinetz-Villa and others). Dr. YE Yu, University of Science and Technology of China, is a young algebraist who is an expert working on t-Koszul algebras and related topics. The program of the seminar（preliminary） |
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| *All lectures are given in Math. Build., Room 213. | ||||||||||||||||||||||||||||||||||||||||||||||||
BNU algebra research group, October 2005 |