May 10
Alice Medvedev,
CUNY
Generic actions of groups on fields
The model theory of fields with automorphisms began with ACFA, where the field has one named automorphism or, equivalently, a named action by the group $(\mathbb{Z}, +)$. Some other groups acting on fields also produce nice theories: free groups, finite groups, subgroups of $(\mathbb{Q}, +)$. Some, such as free abelian groups on two or more generators, do not. This talk will survey these results.