Objective Tilting theory is a set of tools and techniques used to compare and relate module categories. The development of the subject has shown wide and deep applications to representation theory, geometry and mathematical physics. The homological and combinatorial nature of these applications has led to a growing number of new approaches in the area. This project brings together some of these approaches in the setting of derived module categories. We propose to unify and reconcile views on the bounded and on the unbounded derived categories of a ring, establishing new ways to compare them. The key concepts involved range from tilting and silting objects to t-structures, infinitely generated modules, cotorsion pairs and recollements. We suggest constructions and/or classifications for some of these concepts in suitable contexts (from finite dimensional algebras to fully bounded noetherian rings), linking ring theoretical ideas with the study of derived module categories. Ultimately, we use them to investigate the structure of these derived categories and, therefore, have a better understanding of how they relate. Fields of science natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsgeometry Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-2012-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Call for proposal FP7-PEOPLE-2012-IEF See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator UNIVERSITA DEGLI STUDI DI VERONA EU contribution € 179 739,60 Address VIA DELL ARTIGLIERE 8 37129 Verona Italy See on map Region Nord-Est Veneto Verona Activity type Higher or Secondary Education Establishments Administrative Contact Giacomina Bruttomesso (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
