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Cluster exchange groupoids and quadratic differentials
时间  Datetime
2019-01-10 17:00 — 18:00 
地点  Venue
211,Lower Hall
报告人  Speaker
邱宇
单位  Affiliation
清华大学
邀请人  Host
张跃辉
报告摘要  Abstract


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.