Tilting theory in derived module categories

Projektinformationen

TTinDmod

ID Finanzhilfevereinbarung: 327376

Abgeschlossenes Projekt

Startdatum 2 September 2013

Enddatum 1 September 2015

Finanziert unter

• Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Gesamtkosten € 179 739,60

EU-Beitrag € 179 739,60

Koordiniert durch

UNIVERSITA DEGLI STUDI DI VERONA
Italy

Ziel

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.

Wissenschaftliches Gebiet

• natural sciences › mathematics › applied mathematics › mathematical physics
• natural sciences › mathematics › pure mathematics › algebra
• natural sciences › mathematics › pure mathematics › geometry

Programm/Programme

• FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Thema/Themen

• FP7-PEOPLE-2012-IEF - Marie-Curie Action: "Intra-European fellowships for career development"

Aufforderung zur Vorschlagseinreichung

FP7-PEOPLE-2012-IEF
Andere Projekte für diesen Aufruf anzeigen

Finanzierungsplan

MC-IEF - Intra-European Fellowships (IEF)

Koordinator

UNIVERSITA DEGLI STUDI DI VERONA

Kontakt Verwaltung

Giacomina Bruttomesso (Dr.)

• EU-Beitrag: € 179 739,60
• Adresse: VIA DELL ARTIGLIERE 8 ; 37129 Verona ; Italien
• Region: Nord-Est › Veneto › Verona
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten