Groups and Dynamics Seminar

Date: March 13, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Dmytro Savchuk , University of South Florida, Tampa

Title: The duality of the affine actions on trees

Abstract: Every action on a tree given by a (finite) automaton has an associated dual action given by the dual automaton. In this talk I will consider the affine groups of subrings of a global function field, construct their actions on a regular tree, and describe the dual action. In particular, this gives a natural family of bireversible automata. The talk is based on a joint work with Ievgen Bondarenko.