中科院数学与系统科学研究院
数学研究所
学术报告
拓扑研讨班
报告人:于立 教授 (南京大学)
题 目:From Stanley-Reisner Ring to Topological Face Ring
时 间:2023.06.14(星期三)下午14:30-16:00
地 点:数学院南楼N702
摘 要:We introduce how the Stanley-Reisner ring of a simplicial complex can be understood from algebraic topology viewpoints via some spaces arising in toric topology. This reveals some interesting connections between commutative algebras and algebraic topology. Then we explain how the topological interpretation of Stanley-Reisner rings leads to the definition of topological face ring of a nice manifold with corners (and more generally a space with abstract faces).
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