TTINDMOD

Tilting theory in derived module categories

 Coordinatore UNIVERSITA DEGLI STUDI DI VERONA 

 Organization address address: VIA DELL ARTIGLIERE 8
city: VERONA
postcode: 37129

contact info
Titolo: Dr.
Nome: Giacomina
Cognome: Bruttomesso
Email: send email
Telefono: +39 045 8027071
Fax: +39 045 8027068

 Nazionalità Coordinatore Italy [IT]
 Totale costo 179˙739 €
 EC contributo 179˙739 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2012-IEF
 Funding Scheme MC-IEF
 Anno di inizio 2013
 Periodo (anno-mese-giorno) 2013-09-02   -   2015-09-01

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITA DEGLI STUDI DI VERONA

 Organization address address: VIA DELL ARTIGLIERE 8
city: VERONA
postcode: 37129

contact info
Titolo: Dr.
Nome: Giacomina
Cognome: Bruttomesso
Email: send email
Telefono: +39 045 8027071
Fax: +39 045 8027068

IT (VERONA) coordinator 179˙739.60

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 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

tilting    relate    theory    bounded    module    categories    ring    compare   

 Obiettivo del progetto (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.'

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