报告题目：Amorphic association schemes and beyond
报告人：熊彦禛
地点：四教319
摘要：
An association scheme is called amorphic if every possible fusion of relations gives rise to a fusion scheme. We call a tuple of relations fusing if fusing that tuple gives rise to a fusion scheme. We give necessary and sufficient conditions for an association scheme to be amorphic in terms of fusing pairs or fusing triples. We show that an association scheme in which at most one relation is not strongly regular of (negative) Latin square type, is amorphic. We prove that for any , there exist non-amorphic -class association schemes in which there are exactly strongly regular relations of Latin square type.
报告人简介：
熊彦禛，国防科技大学理学院数学系副研究员。他于2022年博士毕业于上海交通大学，导师吴耀琨教授。随后在中国科学技术大学从事博士后研究工作，合作导师Jack Koolen教授。他的研究方向主要是代数图论和代数组合，研究成果发表在Journal of Combinatorial Theory A和Graphs and Combinatorics等期刊上，主持国家自然科学基金青年科学基金项目（C类）。
