EVENT DETAILS AND ABSTRACT

Title: Arakelov-Green functions in arithmetic geometry and dynamics
Speaker: Nicole Looper
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:

This talk will discuss the role played by Arakelov-Green functions in both Diophantine geometry and dynamical systems. We will focus especially on the non-archimedean setting, as well as the dynamical analogue introduced by Baker and Rumely and its arithmetic applications. The talk will end with a discussion of recent progress in transferring these ideas to dynamical systems on higher-dimensional varieties, and of some key open problems in this direction.