Cluster exchange groupoids and quadratic differentials

開催日時: 
2018/12/17 Mon 17:00 - 18:30
場所: 
3号館108号室
講演者: 
Yu Qiu
講演者所属: 
Tsinghua University
概要: 

We introduce the cluster exchange groupoid associated to a non-degenerate quiver with potential, as an enhancement of the cluster exchange graph. In the case of the decorated marked surface S, the universal cover of this groupoid can be constructed using decorated triangulations of S. Such a covering graph is a skeleton for a space of suitably framed quadratic differentials on S, which in turn models the space Stab(S) of Bridgeland stability conditions for the 3-Calabi-Yau category associated to S. Finally, we show that Stab(S) is simply connected.