Jun 19 – 23, 2017
Europe/Rome timezone

Relating stability conditions and cluster varieties

Jun 20, 2017, 12:10 PM
Room D (basement) (SISSA)

Room D (basement)


Via Beirut 2 - 4, 34151, Trieste, Italy (note that this is not SISSA's current main building but the old building in the Miramare park)


Dylan Allegretti (University of Sheffield, UK)


I will describe the relationship between two spaces associated to a quiver with potential. The first is a complex manifold parametrizing Bridgeland stability conditions on a certain triangulated category, and the second is a cluster variety with a natural Poisson structure. For quivers of type $A_n$, I will describe a local biholomorphism from the space of stability conditions to the cluster variety. This result is a special case of work in progress with Tom Bridgeland.

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