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Chains of torsion classes and weak stability conditions

Aran Tattar (Universität zu Köln)
Mathematics seminar
Onsdag, 25. maj, 2022 | 14:15–15:00 | G3.1 (1532-314)

Based on joint work-in-progress with Hipolito Treffinger. Joyce introduced the concept of weak stability conditions for an abelian category as a generalisation of Rudakov's stability conditions. In this talk, we show an explicit relation between chains of torsion classes and weak stability conditions over an abelian category. Consequently, we give a new characterisation of torsion classes, discuss the structure of the space of chains of torsion classes and its relation to the stability manifold. Time permitting, we will discuss some possible generalisations and future directions.

Organiseret af: AarHomAlg