南大阪代数セミナー

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第2回

日時

9月22日 (金) 15:00 ~

場所

大阪府立大学 なかもずキャンパス A14-322

講演者

百合草 寿哉 (名古屋大学)

タイトル

Wide subcategories are semistable

アブストラクト

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.