澳门新葡8455最新网站,www.8455.com,新葡京最新官网

当前位置: 澳门新葡8455最新网站 > 学术活动 > 正文
Topological estimates of the number of vertices of minimal triangulations
澳门新葡8455最新网站:2019年12月02日 21:48 点击数:

报告人:WACLAW BOLESLAW MARZANTOWICZ

报告地点:澳门新葡8455最新网站317室

报告澳门新葡8455最新网站: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.

主讲人概况:

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 .

Copyright ©版权所有:澳门新葡8455最新网站

地址:吉林省长春市人民大街5268号|邮编:130024|电话:0431-85099589|传真:0431-85098237


XML 地图 | Sitemap 地图