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Contractibility of spaces of stability conditions

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If you have a question about this talk, please contact Dr. J Ross .

To a triangulated category one can associate a complex manifold of Bridgeland stability conditions, on which the automorphisms of the category naturally act. Some examples have been explicitly computed but in general it is difficult to do so.

I will explain how to stratify the space of stability conditions in certain cases, and thence obtain a combinatorial model for its homotopy type. This model can be described in terms of t-structures on the triangulated category and tilting relations between them. For an interesting class of cases it can be used to show that the space of stability conditions is contractible.

This talk is part of the Algebraic Geometry Seminar series.

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