BIRS Workshop Lecture Videos
The Kreweras Complement Barnard, Emily
For a certain class of finite lattices called semidistributive, there exists a map k which gives a bijection between the set of join-irreducible elements and meet-irreducible elements. In this talk, we begin by connecting the map k and the Kreweras complement defined on noncrossing partitions. Our goal is to describe the map k in the context of torsion classes and the Kreweras complement in the context of wide subcategories. Experience with torsion classes and wide subcategories will not be assumed, and many examples will be given.
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