报告题目：On some properties of Archimedean tiling graphs

主讲人：苑立平教授（河北师范大学数学科学学院）

会议时间：2022/03/2915:30-17:00

点击链接直接加入会议：https://meeting.tencent.com/dm/iEeeVyyxqkiL

会议ID：957587869

报告摘要：A plane tilingTis a countable family of closed sets with non-empty interiors {T₁, T₂,……}, which cover the plane without gaps or overlaps. Every closed set T_i∈T is called a tile of T . We consider the special case in which each tile is a polygon. If the corners and sides of a polygon coincide with the vertices and edges of the tiling, we call the tiling edge-to-edge. A so-called type describes the neighbourhood of any vertex of the tiling. We consider plane edge-to-edge tilings in which all tiles are regular polygons, and all vertices are of the same type. Thus, the vertex-type defines our tiling up to similarity. There exist precisely eleven such tilings, which are called Archimedean tilings. The graph formed by an Archimedean tiling is called an Archimedean tiling graph. In this talk we’ll discuss some properties of Archimedean tiling graphs.

个人简介：苑立平，理学博士（中国），自然科学博士（德国），教授，博士生导师，河北师范大学数学科学学院院长；中国数学会常务理事，中国工业与应用数学学会理事，高等学校大学数学课程教学指导委员会工作委员，河北省数学会副理事长兼秘书长。

主要从事离散与组合几何领域的研究工作，主持国家自然科学基金项目6项，省部级项目9项，研究工作得到了德国ZAV、WUS提供的优秀回国专家科研项目资助。2010年入选“教育部新世纪优秀人才支持计划”和“河北省高校百名优秀创新人才支持计划”，同年获霍英东教育基金会第十二届高等院校青年教师奖；2013年获河北省杰出青年科学基金资助；2016年获河北省自然科学奖二等奖（第一完成人）；2019年被评为河北省优秀回国人员，受到省政府表彰。