Recruitment Talk: Dynamics, number theory, and unlikely intersections

The Golden Hourglass by Craig Schaffer
December 9, 2022
4:15 pm - 5:15 pm
Ch 218

Date Range
2022-12-09 16:15:00 2022-12-09 17:15:00 Recruitment Talk: Dynamics, number theory, and unlikely intersections Title: Dynamics, number theory, and unlikely intersections   Speaker:  Niki Myrto Mavraki   Abstract: Fruitful interactions between arithmetic geometry and dynamical systems have emerged in recent years. In this talk I will illustrate how insights from complex dynamics can be employed to study problems from arithmetic geometry. And conversely how arithmetic geometry can be used in the study of dynamical systems. The motivating questions are inspired by a recurring phenomenon in arithmetic geometry known as `unlikely intersections' and conjectures of Pink and Zilber therein. More specifically, I will discuss work toward understanding the distribution of preperiodic points in subvarieties of families of rational maps. Ch 218 America/New_York public
Title: Dynamics, number theory, and unlikely intersections
 
Speaker:  Niki Myrto Mavraki
 
Abstract: Fruitful interactions between arithmetic geometry and dynamical systems have emerged in recent years. In this talk I will illustrate how insights from complex dynamics can be employed to study problems from arithmetic geometry. And conversely how arithmetic geometry can be used in the study of dynamical systems. The motivating questions are inspired by a recurring phenomenon in arithmetic geometry known as `unlikely intersections' and conjectures of Pink and Zilber therein. More specifically, I will discuss work toward understanding the distribution of preperiodic points in subvarieties of families of rational maps.

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