2018年5月20日,数理学院邀请美国Louisiana State University,Jimmie Lawson教授来校作“The relation between order and topology”报告。报告在数理学院9-309学术报告厅举行,院长欧阳自根主持报告会。学院部分老师和研究生参加并认真聆听了此次报告。
在报告会上,Lawson教授首先介绍了非Hausdorff拓扑的背景以及研究意义,从实数出发介绍了序结构和T0拓扑之间的相互生成方式。而对于偏序集上最重要的两种拓扑:Scott拓扑和Lawson拓扑(以Lawson教授名字命名),教授介绍了它们产生的动机和具体形式。一方面偏序集的结构决定了这些拓扑,另一方面这些拓扑的又能很好的反映原来偏序集的特殊性质。最后,Lawson教授就该方向的热点以及今后的发展趋势做了点评,给相关老师提出了具体的建议。
Jimmie Lawson个人简介:
Jimmie Lawson is a Boyd Professor Emeritus in Louisiana State University, USA. He is one of the pioneers of Domain Theory and the main author of the monograph “Continuous Lattices and Domains”, which is regarded internationally as the canon of Domain Theory. He has done profound and influential work in Lie Semigroup, Matrix Geometric Mean, Compact Topological Semigroups and Domain Theory. One of the two most important topologies in Domain Theory -the Lawson topology -is named after him. He was invited speaker for more than 40 various national and international conferences. He serves as the Chair of Editors, Executive Editor and Council Member for Semigroup Forum, and Editor for Topology and Its Applications, Applied Categorical Theory and Journal of Lie Theory.