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Topogical Entropy of Rational Maps (Over any Metrized Field)

Adventurous Berkeley Complex Dynamics May 02, 2022 - May 06, 2022

May 04, 2022 (09:00 AM PDT - 10:00 AM PDT)
Speaker(s): Charles Favre (École Polytechnique)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Topogical Entropy Of Rational Maps (Over Any Metrized Field)

Abstract

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.

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Topogical Entropy Of Rational Maps (Over Any Metrized Field)

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