Abstract: We will discuss three simple automorphism groups: the group of bijections on the set of natural numbers, the group of order-preserving automorphisms of the rational numbers and the group of automorphisms of the random graph, i.e., the Erdös-Rado graph. Suppose we choose an automorphism from one of these groups “randomly”. How goes it behave? Or what does a typical automorphism look like? What could typical mean in this context? Come find out!
University of Louisville
General seminar of CMUP