周进鑫教授，北京交通大学数学与统计学院

Cayley graphs form an important class of vertex-transitive graphs, which have been the object of study for many decades. These graphs admit a group of automorphisms that acts regularly (sharply-transitively) on vertices. Although every Cayley graph has such a ‘large’ group of automorphisms, it is difficult in general to decide the full automorphism group of a Cayley graph. In this talk, I will survey some old and new results in this area.