Sabancı Üniversitesi Cebir Seminerleri
Classification of Preperiodic Points of Cubic PCF Polynomials
Murat Uyar
Sabancı Üniversitesi, Türkiye
In arithmetic dynamics, one of the main conjectures is the uniform boundedness of preperiodic points of rational maps of a given degree over a number field. In this talk, we first show how to classify cubic post-critically finite polynomials defined over Q up to linear conjugacy. Using certain algorithms that were introduced by Silverman and Hutz, we will show that the number of preperiodic points of a cubic post-critically finite polynomial defined over Q cannot exceed 6.
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Meeting ID: 917 3582 7843 Passcode: algebra
