BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

A representation theoretic take on clustering Steen, Johan


I will report on work in progress, joint with U. Bauer, M. Botnan and S. Oppermann. One of the main motivations for this project was to try to determine the complexity of 2-parameter clustering. Although this eventually led to purely representation theoretic results, the focus of this talk is what one of these results tells us in the realm of clustering. To be more precise, we show that the category of 2-parameter persistence modules with epimorphisms either horizontally, vertically, or both, is nearly as bad as the full category of 2-parameter persistence modules.

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