报告人：Bernhard Keller教授

工作单位：法国巴黎西岱大学

举办单位：金沙集团1862cc成色

报告简介：In a famous article in 2008, Fomin-Shapiro-Thurston associateda cluster algebra to each triangulated marked surface. In 2012, in his thesis under the supervision of Andrei Zelevinsky, Daniel Labardini-Fragoso constructednon degenerate quivers with potential which allow to categorify thesealgebras using Amiot's construction of the cluster category associatedwith a quiver with potential. A completely new approach to the constructionof these surface cluster categories was developed by Merlin Christ inhis thesis under the supervision of Tobias Dyckerhoff in 2022. Givena triangulation of a surface (without punctures), he obtains them by glueingcopies of the (relative) 2-Calabi-Yau category associated with a triangle. More intrinsically, he obtains the surface cluster category as the category of global sections of a perverse schober (in the sense of Kapranov-Schechtman) associatedto the surface. In this series of lectures, we will give an introductionto this circle of ideas starting from combinatorics and ending upwith higher category theory.

报告人简介：Bernhard Keller，巴黎西岱大学教授、中国科学技术大学客座教授、著名代数学家，在微分分次理论、丛理论以及Hochschild同调理论中均做出奠基性的学术成果。Keller教授是法国科学院“索菲·热尔曼”2014年度大奖得主、2024年“科学前沿奖”得主、法国大学研究院资深成员、挪威皇家科学通讯院士、比利时安特卫普大学荣誉博士、国际数学家大会ICM邀请报告人以及美国数学会会士。任国际知名杂志Advances in Mathematics，Forum of Mathematics Pi以及Journal of the European Mathematical Society编委。

报告一：Cluster categories for surfaces, after Merlin Christ I

报告时间：2024年7月23日（星期二）09：30-11：30

报告地点：翡翠科教楼B座1710

报告二：Cluster categories for surfaces, after Merlin Christ II

报告时间：2024年7月24日（星期三）09：30-11：30

报告地点：翡翠科教楼B座1710

报告三：Cluster categories for surfaces, after Merlin Christ III

报告时间：2024年7月25日（星期四）09：30-11：30

报告地点：翡翠科教楼B座1710