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BIRS Workshop Lecture Videos

Clustering from (co)torsion pairs Steen, Johan


In joint work with Ulrich Bauer, Magnus Botnan and Steffen Oppermann, we construct equivalences relating certain subcategories of abelian categories. (These arise as components in so-called torsion and cotorsion pairs.) I will explain how this construction works, and with this as a fairly general starting point, we will see how this can be specialized to 2-parameter clustering. For the last part, I will give examples to show that the finiteness of representation type is sensitive to the orientation of the underlying quivers.

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