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-- CANCELLED - - Scarcity of periodic points for rational functions over a number field

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Jung Kyu Canci
Universit├Ąt Basel
Wed, 2017-03-29 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

 I will present a recent joint work with S. Vishkautsan where we provide an explicit bound on the number
of periodic points of a rational function of degree at least 2 defined over a number field. The bound depends
only on the number of primes of bad reduction and the degree of the function, and is linear in the degree.
We show that under stronger assumptions (but not so strong) the dependence on the degree of the map in
the bounds can be removed. Our results are consequences of some more general results about integral
points on some varieties.

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