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9月22日 (金) 15:00 ~
大阪府立大学 なかもずキャンパス A14-322
百合草 寿哉 (名古屋大学)
Wide subcategories are semistable
This talk is based on arXiv:1705.07636.
For an arbitrary finite dimensional algebra Λ, we prove that any wide subcategory of modΛ satisfying a certain finiteness condition is θ-semistable for some stability condition θ.
More generally, we show that wide subcategories of modΛ associated with two-term presilting complexes of Λ are semistable.
This provides a complement for Ingalls-Thomas-type bijections for finite dimensional algebras.