Tuesday, March 5, 2024 10:00 am
-
11:00 am
EST (GMT -05:00)
Peter Oberly, University of Rochester
The Arakelov--Zhang pairing (also called the dynamical height pairing) is a kind of dynamical distance between two rational maps defined over a number field. This pairing has applications in arithmetic dynamics, especially as a tool to study the preperiodic points common to two rational maps. We will discuss some bounds on the Arakelov-Zhang pairing of f and g in terms of the coefficients of f and investigate some simple consequences of this result.
MC 5417