Stability conditions and quadratic differentials
Ponente: Tom Sutherland
Institución: Università di Pavia (Italia)
Tipo de Evento: Investigación
Institución: Università di Pavia (Italia)
Tipo de Evento: Investigación
Cuándo |
28/11/2016 de 17:00 a 18:30 |
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Dónde | Salón 1 de seminarios |
Agregar evento al calendario |
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This talk is dedicated to a class of triangulated categories defined using
quiver representations whose stability conditions can be described via
meromorphic quadratic differentials on a Riemann surface. The appropriate
quadratic differentials define a foliation on the surface whose critical
leaves describe a triangulation with vertices at the poles of the
differential. The process of tilting inside the triangulated category
provides a categorification of the cluster combinatorics of flips of these
triangulations, which together with periods of the quadratic differential
make up the data of a stability condition on the category.