论文标题
关于拓扑晶体学和离散表面理论的简短讲座
A Short Lecture on Topological Crystallography and a Discrete Surface Theory
论文作者
论文摘要
这是基于“离散差异几何学入门研讨会”的讲座，于2019年1月21日至24日在韩国大学。在本说明中，我们讨论了拓扑结晶学，这是晶体结构的数学理论。图表的所有位置中最对称的结构是通过拓扑晶体学中的变异原理获得的。我们还讨论了$ 3 $维欧几里得空间中三价离散表面的理论，该空间是晶体/分子结构的数学模型。
This is an unrefereed lecture note based on lectures in 'Introductory Workshop on Discrete Differential Geometry' at Korea University on January 21--24, 2019. In this note, we discuss topological crystallography, which is a mathematical theory of crystal structures. The most symmetric structure among all placements of the graph is obtained by a variational principle in topological crystallography. We also discuss a theory of trivalent discrete surfaces in $3$-dimensional Euclidean space, which are mathematical models of crystal/molecular structures.
