报告题目：Topological Indices and Hyperbolic Geometry of Fullerenes

报告人：Andrei Vesnin 教授 俄罗斯新西伯利亚索伯列夫数学研究所

报告时间：2025年12月13日（星期六） 15:00-16:30

报告地点：数学科学学院114（小报告厅）

校内联系人：李风玲 教授    联系电话：84708351-8515

报告摘要：We will present mathematical properties of fullerenes considered as graphs and as right-angled non-Euclidean polyhedra. In molecular topology and mathematical chemistry, the notion of topological indices is used for molecular descriptors based on molecular graphs of chemical compounds. One of the most known topological indices is the Wiener index introduced by Wiener in 1947. Topological indices are widely used in the study of Quantitative Structure - Activity Relationships (QSAR) in which properties of molecules are correlated with their chemical structure. We will discuss Wiener index of fullerene graphs, its generalizations and relations with hyperbolic volume of fullerenes realized as right-angled polyhedra in a 3-dimensional hyperbolic space.

报告人简介：Andrei Vesnin教授，俄罗斯科学院通讯院士、托木斯克大学教授，新西伯利亚国立大学教授、俄罗斯科学院Sobolev 数学研究所应用分析实验室主任，主要从事双曲流形等方面的研究工作，是代数拓扑领域国际知名专家，多次承担国家研究基金项目，多次主办学术会议。