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Topological estimates of the number of vertices of minimal triangulations
时间:2019年12月02日 21:48 点击数:

报告人:WACLAW BOLESLAW MARZANTOWICZ

报告地点:数学与统计学院317室

报告时间:2019年12月05日星期四16:00-17:00

邀请人:陈亮

报告摘要:

We describe a lower bound for the number of simplices that are needed to triangulate the Grassmann manifold $G_k(R^n)$. We show that the number of top-dimensional simplices grows (at least) as a cubical function of n and that the number of all simpplices grows exponentially in n. More precise estimates are given for $k = 2, 3, 4$. Our method can be used to estimate the minimal size of triangulations for other spaces, like Lie groups, ag manifolds, Stiefel manifolds etc.

主讲人简介:

Professor MARZANTOWICZ, the author of 65 publications, two manuals on nonlinear analysis, and elementary number theory, respectively, and of a monograph "Homotopy Methods in Topological Fixed and Periodic Points Theory" Springer (2006). The editor of the journals Functiones & Approximatio, and Topological Methods in Nonlinear Analysis, member of the Editorial Board of Studia Mathematica - STUDIA UNIVERSITATIS Babes-Bolya. Head of the Division of Geometry and Topology of Faculty of Math. and Comp. Sci of A. Mickiewicz University of Poznań. Chairman of the Main Banach Prize Jury and the Prize for Young Mathematicians Jury. President of Polish Mathematical Society .

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