Topogical Entropy of Rational Maps (Over any Metrized Field)
Charles Favre (École Polytechnique)
MSRI: Simons Auditorium, Online/Virtual
Gromov, Dinh and Sibony gave an upper-bound for the topological entropy of any rational map on a projective complex variety. In a joint work with T. T. Truong and J. Xie, we recently extended this bound to arbitrary complete metrized non-Archimedean fields. We also related maps over such fields for which the topological entropy vanishes to the notion of good reduction.