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SUMMARY:Jakub Byszewski
DTSTART:20201030T091500Z
DTEND:20201030T104500Z
DTSTAMP:20260423T021930Z
UID:DSSUJ/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/12/">A
 rithmetic properties of the number of periodic points</a>\nby Jakub Byszew
 ski as part of Dynamical systems seminar at the Jagiellonian University\n\
 nLecture held in 1016.\n\nAbstract\nThe talk will be of expository charact
 er and is based on a joint\nsurvey paper with Grzegorz Graff and Thomas Wa
 rd. Given a dynamical\nsystem\, we may consider the sequence counting the 
 number of periodic\npoints of given order (if finite). (Equivalently\, thi
 s information can\nbe given in terms of the dynamical zeta function of the
  system.) We\nwill discuss some arithmetic properties of the class of sequ
 ences that\ncan be obtained in this manner. Many of such results have been
 \nindependently rediscovered by various mathematicians working in\nmultipl
 e fields.\n\nIn the latter part of the talk\, we will also discuss some mo
 re recent\nresults concerning the growth rate of the number of periodic po
 ints in\ncertain systems of algebraic origin\, and obtained in a joint wor
 k with\nGunther Cornelissen and Marc Houben.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/12/
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