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Bernhard Keller- Cluster categories for surfaces, after Merlin Christ 系列报告

时间:2024-07-09来源:数学爱游戏官方信誉好

报告地点:翡翠湖校区科教楼B座1710室

报 告 人:Bernhard Keller 教授

工作单位:法国巴黎西岱大学

举办单位:数学爱游戏官方信誉好

报告简介:

In a famous article in 2008, Fomin-Shapiro-Thurston associated a cluster algebra to each triangulated marked surface. In 2012, in his thesis under the supervision of Andrei Zelevinsky, Daniel Labardini-Fragoso constructed non degenerate quivers with potential which allow to categorify these algebras using Amiot's construction of the cluster category associated with a quiver with potential. A completely new approach to the construction of these surface cluster categories was developed by Merlin Christ in his thesis under the supervision of Tobias Dyckerhoff in 2022. Given a triangulation of a surface (without punctures), he obtains them by glueing copies 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) associated to the surface. In this series of lectures, we will give an introduction to this circle of ideas starting from combinatorics and ending up with 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教授是法国科爱游戏官方信誉好“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。


学术报告信息(一)

报告题目: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


学术报告信息(二)

报告题目: 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


学术报告信息(三)

报告题目: 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

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