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A facial order for torsion classes

Eric Hanson (Université de Sherbrooke)
Wednesday 31 May 2023 14:15–15:15 Aud. G2 (1532-122)
Mathematics Seminar

This talk is based on the preprint https://arxiv.org/abs/2305.06031.

Let A be a finite-dimensional algebra and T(A) the lattice of torsion classes of finitely-generated A-modules. We use the theory of stability conditions to define a partial order (the "facial semistable order") on a set of intervals in T(A). By restricting to functorially finite torsion classes, this yields a partial order on the set of all 2-term presilting complexes. This then further restricts to the oriented mutation graph on 2-term silting complexes. In this talk, we discuss the construction, cover relations, and lattice properties of the facial semistable order.

Organised by: AarHomAlg
Contact: Karin M. Jacobsen Revised: 25.05.2023