The field of definition of the iterates of a rational function
Seminar
Speaker
Dr. Solomon Vishkautsan (Tel-Hai Academic College)
Date
13/03/2019 - 11:30 - 10:30Add to Calendar
2019-03-13 10:30:00
2019-03-13 11:30:00
The field of definition of the iterates of a rational function
We will discuss the field of definition of a rational function and in what ways it can change under iteration, in particular when the degree over the base field drops. We present two families of rational functions with the property above, and prove that in the special case of polynomials, only one of these families is possible. We also explain how this relates to Ritt's decomposition theorem on polynomials. Joint work with Francesco Veneziano (SNS Pisa).
Third floor seminar room (room 201, building 216)
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room (room 201, building 216)
Abstract
We will discuss the field of definition of a rational function and in what ways it can change under iteration, in particular when the degree over the base field drops. We present two families of rational functions with the property above, and prove that in the special case of polynomials, only one of these families is possible. We also explain how this relates to Ritt's decomposition theorem on polynomials. Joint work with Francesco Veneziano (SNS Pisa).
Last Updated Date : 26/01/2019
