Colloquium| Institute of Mathematical Sciences
Time：14:00-15:00, December 20 Friday
Location：Room S408, IMS
Speaker: Yu Qiu, Tsinghua University
Abstract: We introduce the cluster exchange groupoid to show that any connected component (which are all isomorphic) of the moduli space of framed quadratic differentials on a decorated marked surface S is simply connected. We also improve the result of Bridgeland-Smith, that such a space can be identified with the principal component of the space of stability conditions on the associated Calabi-Yau-3 categories of S.