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About the Network

The Network on Silting Theory aims to strengthen existing collaborations, while stimulating and supporting new connections and providing a basis for exchange within Silting Theory and with areas where new methods and applications are to be found. This network will connect German research groups in Bielefeld, Bonn, Mainz and Stuttgart with further research groups in Europe: in the Czech Republic, in Italy, in Spain and in the United Kingdom. The following map lists the members of the network and their affiliations. For further details, see the section Members.

About Silting Theory

Silting Theory is an emerging new area of Representation Theory. Its initial motivation goes back to classical Morita Theory, later generalised by Tilting Theory and the theory of derived equivalences. Nowadays, Silting Theory encompasses a large set of tools and techniques, working with abelian and triangulated categories. It incorporates fundamental structures such as torsion theories and t-structures as well as localisations, and it often demands the use of higher structures (model categories, dg categories, derivators), combinatorics (mutation, combinatorial models) and functorial methods inspired by model theory (purity). The network aims at studying and developing the rich interplay between silting objects, t-structures, torsion pairs, localisations, purity, Bridgeland stability conditions and simple-minded systems.