### Co-t-structures: The First Decade

Algebra and Geometry Seminar

24th January 2018, 2:30 pm – 3:30 pm

Howard House, 4th Floor Seminar Room

Co-t-structures were introduced independently by Bondarko and Pauksztello in 2007 as a mirror image of t-structures.

The two types of structures are related by a "looking glass principle", in the sense that many of their properties are analogous, but translation from one side to the other is rarely mechanical.

We will recall the canonical t-structure in the derived category, show an analogous co-t-structure in the homotopy category, and show an example of a category which is skewed in the sense that it has many t-structures and few co-t-structures, or vice versa.

We will also mention the close relation between t-structures, co-t-structures, simple minded collections, and silting objects.

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