“On quiver categories associated to quadratic differentials”
Martedì 21 Giugno 2022, ore 14:00 - Aula 2AB40 - Anna Barbieri (Università di Padova)
In a paper in 2015, Bridgeland and Smith identified some moduli spaces of quadratic differentials with simple zeroes on a Riemann surface with some spaces of stability conditions on certain categories. This identification passes through associating a quiver Q and a triangulated category D(Q) to a triangulation of a marked bordered surface with boundaries defined by a quadratic differential. I will review this correspondence and discuss how the picture changes when quadratic differentials with zeroes of arbitrary order are considered.
This is part of a joint work with M. Moeller and J. So.