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Design theory from the viewpoint of algebraic combinatorics

主 讲 人 :板内英一    教授

活动时间:11月27日10时00分    

地      点 :理科群1号楼D-203室

讲座内容:

The purpose of "design theory" is to find good small subsets which approximate the given whole space. The space maybe good finite spaces (such as association schemes) or good topological spaces(such as spheres). This talk gives an overview on the study of design theoryfrom the viewpoint of algebraic combinatorics. We start with the survey ofvarious kinds of designs, such as combinatorial t-designs and more generallydesigns in association schemes, as well as spherical designs and theirgeneralizations. Our emphasis will be on the study of Fisher type lower boundsfor various designs and the existence and the classification problems of tightdesigns. At the end, I will discuss unitary t-designs and unitary t-groups.

主讲人介绍:

板内英一,国际著名代数组合学家,曾为美国俄亥俄州立大学全职教授(1984—1989),日本九州大学全职教授(1989—2009);上海交通大学讲席教授(2011---2017),代数组合第一部专著《结合方案》的作者,多个国际数学杂志的主编或编委,多次应邀在国际数学会议上作大会报告,曾获日本数学会代数奖。  


发布时间:2018-11-26 10:29:59

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