Some applications of Hrushovski's theorem about the Frobenius map to algebraic dynamics
Presenter
February 4, 2014
Keywords:
- algebraic dynamics
- periodic orbit
- Frobenius twist
- Lang-Weil estimates
MSC:
- 03Cxx
- 37P55
- 37P50
- 37P35
- 37P20
- 37Pxx
Abstract
I aim to survey some results in algebraic dynamics which rely on Hrushovski's theory of the Frobenius map: density of periodic points (by Fakhruddin) and of non-preperiodic algebraic points (by myself) and, if time permits, some related work.