胡侃博士学术报告:Complete Regular Dessins and Skew Morphisms of Cyclic Groups
发布时间:2024-10-29 浏览次数:10
报告题目:Complete Regular Dessins and Skew Morphisms of Cyclic Groups
报告人:胡侃(浙江海洋大学)
报告时间:2024年11月1日15:00-17:00
报告地点:育才校区广西应用数学中心(第二文科楼北楼206)
报告摘要:A dessin is a 2-cell embedding of a bipartite graph into an oriented closed surface. A dessin is regular if its group of orientation- and color-preserving automorphisms acts transitively on the edges. If the underlying graph of a regular dessin is a complete bipartite graph, it is called a complete regular dessin. The automorphism group G of a complete regular dessin with underlying graph K_{m,n} is known to have an exact (m,n)-bicyclic factorization G=C_mC_n. This correspondence allows the use of group factorizations to classify and enumerate complete regular dessins, and to establish a new correspondence with skew morphisms of the cyclic groups. In this talk, we present an updated progress on the classification problems of complete regular dessins and skew morphisms of cyclic groups.
报告人简介:胡侃,浙江海洋大学数学系副教授,硕士研究生导师。2013年毕业于斯洛伐克Matej Bel大学,获哲学博士学位,主要研究领域为群在各类组合和拓扑结构上的作用,包括群与图、群与地图以及dessins d'enfants理论,至今已在《Journal of Group Theory》《Communication in Algebras》《European Journal of Combinatorics》《Geometriae Dedicata》《Ars Mathematica Contemporanea》、《Discrete Mathematics》《Journal of Algebraic Combinatorics》等专业学术期刊上发表科研论文20余篇.
广西师范大学数学与统计学院
广西应用数学中心(广西师范大学)