報(bào)告地點(diǎn)：翡翠湖校區(qū)科教樓B座1710室
報(bào) 告 人：Bernhard Keller 教授
工作單位：法國巴黎西岱大學(xué)
舉辦單位：數(shù)學(xué)學(xué)院
報(bào)告簡介：
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.
報(bào)告人簡介：
Bernhard Keller，巴黎西岱大學(xué)教授、中國科學(xué)技術(shù)大學(xué)客座教授、著名代數(shù)學(xué)家，在微分分次理論、叢理論以及Hochschild同調(diào)理論中均做出奠基性的學(xué)術(shù)成果。Keller教授是法國科學(xué)院“索菲·熱爾曼”2014年度大獎(jiǎng)得主、2024年“科學(xué)前沿獎(jiǎng)”得主、法國大學(xué)研究院資深成員、挪威皇家科學(xué)通訊院士、比利時(shí)安特衛(wèi)普大學(xué)榮譽(yù)博士、國際數(shù)學(xué)家大會(huì)ICM邀請(qǐng)報(bào)告人以及美國數(shù)學(xué)會(huì)會(huì)士。任國際知名雜志Advances in Mathematics，F(xiàn)orum of Mathematics Pi以及Journal of the European Mathematical Society編委。
學(xué)術(shù)報(bào)告信息（一）
報(bào)告題目：Cluster categories for surfaces, after Merlin Christ I
報(bào)告時(shí)間：2024年7月23日（星期二）09:30-11:30
學(xué)術(shù)報(bào)告信息（二）
報(bào)告題目: Cluster categories for surfaces, after Merlin Christ II
報(bào)告時(shí)間：2024年7月24日（星期三）09:30-11:30
學(xué)術(shù)報(bào)告信息（三）
報(bào)告題目: Cluster categories for surfaces, after Merlin Christ III
報(bào)告時(shí)間：2024年7月25日（星期四）09:30-11:30
