Objective Representation theory of groups, rings and algebras describes and compares categories of modules or representations, or related categories such as derived or stable categories. Equivalences between such categories need to be studied in order to reduce new examples to known ones and to exhibit new connections between seemingly different situations. While the classical notion of Morita equivalence is well known, much less is known about equivalences of derived or stable categories, which are the source of major current problems and conjectures. This project will study stable equivalences of Morita type, which form the class of stable equivalences needed in most applications and which are closest to derived equivalences. A general theory needs to be built, connections and comparisons with derived equivalences have to be clarified or established, and applications, e.g. in representation theory of finite groups and in algebraic Lie theory, are envisaged. The project will support an outstanding young Chinese researcher in becoming a research leader in his home country. Fields of science natural sciencesmathematicspure mathematicsalgebra Keywords Representation theory derived categories equivalences stable categories Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Topic(s) MOBILITY-2.3 - Marie Curie Incoming International Fellowships (IIF) Call for proposal FP6-2005-MOBILITY-7 See other projects for this call Funding Scheme IIF - Marie Curie actions-Incoming International Fellowships Coordinator UNIVERSITAET ZU KOELN EU contribution No data Address Albertus-Magnus-Platz KOELN Germany See on map Links Website Opens in new window Total cost No data