שלחו לחבר

Quadratic rational functions with a periodic critical point

Seminar
Speaker
Dr. Solomon Vishkautsan (Scuola Normale Superiore di Pisa)
Date
30/12/2015 - 11:30 - 10:30
Place
Third floor seminar room
Abstract

A rational function defined over the rationals has only finitely many rational preperiodic points by Northcott's classical theorem. These points describe a finite directed graph (with arrows connecting between each preperiodic point and its image under the function). We give a classification, up to a conjecture, of all possible graphs of quadratic rational functions with a rational periodic critical point. This generalizes the classification of such graphs for quadratic polynomials over the rationals by Poonen (1998). This is a joint work with Jung Kyu Canci (Universität Basel).

תאריך עדכון אחרון : 24/12/2015