Minors play an important role in graph theory. The famous Archdeacon-Huneke-Robertson-Seymour theorem states that for every closed compact surface, there exists a finite list of graphs such that a graph G is embeddable on this surface if and only if it does not contain any of these graphs as a minor.

In this talk, we give a survey on extremal eigenvalues of graphs embedded on surfaces.

翟明清，南京理工大学教授，博士生导师，博士毕业于华东师范大学运筹学与控制论专业，南京师范大学博士后，中国工业与应用数学学会图论组合及应用专业委员会委员。主要从事代数图论、极值图论等方面研究。近年来，在 J. Combin. Theory A / B，J. Graph Theory，European J. Combin.，Adv. in Appl. Math.等期刊发表学术论文60余篇，主持和参与多项国家自然科学基金和省部级自然科学基金项目。