The introduction of regular Hessenberg varieties
报告专家：曾昊智（华中科技大学）
报告时间：2024年7月26日（星期五）下午14：30-15：30
报告地点：数学学院西202报告厅
报告摘要：Regular Hessenberg varieties are a family of subvarieties of the full flag variety G/B. This family contains the full flag variety, Peterson variety and permutohedral variety. A regular Hessenberg variety in type A is defined by a Hessenberg function h:[n]→[n] and a regular linear operator of C^n. In this talk, we recall some basic properties of regular Hessenberg varieties and connections of topology and combinatorics in regular Hessenberg varieties.
专家简介：曾昊智，华中科技大学副教授。研究领域为环面拓扑，目前主要研究正则Hessenberg varieties上的代数拓扑。与人合作给出了一类toric origami manifolds的Betti数的显式表达，证明了正则Hessenberg varieties的结构层的上同调的消灭定理，给出type A的正则半单Hessenberg varieties是Fano和weak Fano的组合判定条件。
邀请人：范久瑜
