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University of Sydney Algebra Seminar

Asilata Bapat

Friday 24 May, 12-1pm, Place: SMRI seminar room (Macleay Building (A12) room 301)

A combinatorial study of Harder--Narasimhan filtrations

A choice of a stability condition on a category gives rise to a canonical filtration of any object, with semistable factors. This is called the Harder--Narasimhan (HN) filtration. Under suitable assumptions, the possible HN filtration factors of an object are highly and non-trivially constrained. Furthermore, these possible "HN support sets" have a rich combinatorial structure. In this talk, I wil elaborate on some of these ideas.