Cel 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. Dziedzina nauki natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsgeometry Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-2012-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Zaproszenie do składania wniosków FP7-PEOPLE-2012-IEF Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IEF - Intra-European Fellowships (IEF) Koordynator UNIVERSITA DEGLI STUDI DI VERONA Wkład UE € 179 739,60 Adres VIA DELL ARTIGLIERE 8 37129 Verona Włochy Zobacz na mapie Region Nord-Est Veneto Verona Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Giacomina Bruttomesso (Dr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych