A Series of Talks in Cluster Theory
Speaker: Dr. Yu Qiu (The Chinese University of Hong Kong)
(I). Topological type Fukaya categories and Calabi-Yau/Cluster categories.
Abstract: We introduce Calabi-Yau-X categories of quivers with superpotential from surfaces and show that their cluster categories are topological Fukaya categories. We also survey various topological type Fukaya categories, including Calabi-Yau-3 categories of quivers with potential and Calabi-Yau-2 cluster categories from surfaces. (Joint with Akishi Ikeda and Yu Zhou)
Time: 9:00-11:00am, May 15 (Tuesday), 2018
(II). Cluster exchange groupoids and framed quadratic differentials
Abstract: We introduce cluster exchange groupoids, whose points groups give the generalized braid groups--the cluster braid groups. As application, we construct spaces of framed quadratic differentials on decorated marked surfaces, that realized spaces of stability conditions, and show that these spaces are simply connected. (Joint with Alastair King)
Time: 9:00-11:00am, May 18 (Friday), 2018