Date:
Thu, 29/12/202216:00-17:15
The talk will be broadcast using panopto https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=4156ce99-ed56-4cb6-8ed0-af3400938354
Title: Heights and measures in arithmetic dynamics
Abstract: I will give a gentle introduction to the dynamics of rational maps over number fields K, mostly in one variable. To a given map, one can attach a height function on algebraic points. A first central theme is the equidistribution of points of small height, after taking a completion of K, with respect to a canonical measure. A second theme is the study of the moduli space of rational maps: here, a naive height function may be refined to a certain quadratic norm on the attached measures; its distance function can detect similarities in the dynamics.
Title: Heights and measures in arithmetic dynamics
Abstract: I will give a gentle introduction to the dynamics of rational maps over number fields K, mostly in one variable. To a given map, one can attach a height function on algebraic points. A first central theme is the equidistribution of points of small height, after taking a completion of K, with respect to a canonical measure. A second theme is the study of the moduli space of rational maps: here, a naive height function may be refined to a certain quadratic norm on the attached measures; its distance function can detect similarities in the dynamics.