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正多面体与曲线上的向量丛

2026.05.28

投稿:邵奋芬部门:理学院浏览次数:

活动信息

汇报标题:Positroids and Vector Bundles on Curves(正多面体与曲线上的向量丛)

汇报人 (Speaker):华诤教授(香港大学)

汇报功夫 (Time):2026年6月8日(周一)9:30

汇报地址 (Place):校本部GJ303

约请人(Inviter):黄红娣

主办部门:理学院数学系

汇报提要:Positroids are matroids that admit a totally nonnegative realization. They naturally index the cells of the totally nonnegative Grassmannian, projected open Richardson strata in the complex Grassmannian, and affine Schubert cells in the central fiber of local models of Shimura varieties of type A. We provide a new perspective on positroids and these geometric constructions via vector bundles on singular curves, which naturally gives rise to a Poisson structure.

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