Stability conditions and torsion classes

Thomas Brüstle - Bishop's University and Université de Sherbrooke
Data e ora
mercoledì 31 maggio 2017 alle ore 16.30 - Sala Riunione II piano - Rinfresco 16.15, inizio seminario 16.30.
Referente esterno
Data pubblicazione
18 aprile 2017


The notion of (semi-)stability has been introduced in representation theory of quivers by Schofield  and King, and it was formalised in the context of abelian categories by Rudakov. The concept has re-appeared in mathematical physics as scattering diagrams, and its corresponding wall and chamber structure is also studied in the work of Bridgeland.
We consider in this talk Rudakov’s stability functions on abelian length categories, and relate them to the language of torsion classes. Extending the notion of maximal green sequences to this setting, we characterize which stability functions  induce a maximal green sequence.

This is a report on joint work with David Smith and Hipolito Treffinger.

Contact person: Lidia Angeleri

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