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吴文俊数学重点实验室代数学系列报告之128【邱宇】

报告人:邱宇, 香港中文大学

时间:5月8日, 14:30-15:30 

      5月9日, 14:30-15:30 

地点:管理科研楼1518教室

报告题目:(I)Topological type Fukaya categories and Calabi-Yau/Cluster categories.

摘要: 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)

报告题目:(II)Cluster exchange groupoids and framed quadratic differentials

摘要: 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) 

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