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Oberseminar SoSe 2012 Zusammenfassung des Vortrags von Nathan Broomhead

Averaging t-structures

I will talk about recent work with David Pauksztello and David Ploog in which we ask if and when it is possible to average a finite collection of t-structures on a triangulated category. Our motivation comes from looking at triangulated categories with finite group actions, and wondering when a given t-stucture has a naturally associated invariant t-structure. Such an invariant t-structure would then give a t-structure on the equivariant category, a type of quotient of the triangulated category by the group action. I will give an overview of the objects involved and give explicit examples illustrating what can happen, in the case where the triangulated category is the bounded derived category of a tame hereditary algebra.