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UID:news715@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190207T232307
DTSTART;TZID=Europe/Zurich:20141212T103000
SUMMARY:Seminar Algebra and Geometry: Salomon Vishkautsan (ERC postdoc at S
 cuola Normale Superiore di Pisa)
DESCRIPTION:In this talk we present a local-global property in arithmetic d
 ynamics called strong residual periodicity\, as defined by Bandman\, Grune
 wald and Kunyavskii in 2010.  We start with a dynamical system induced by 
 an endomorphism of a quasi projective variety defined over a number field.
   This system can be reduced mod p for “almost all” primes in the ring
   of  integers  of  the  number  field.   We  can  then  ask  how  the  dy
 namics  of  the  global system relate to the dynamics of the system reduce
 d mod p for almost all primes p.  Strong residual periodicity occurs when 
 points of small period exist modulo almost every prime\,but “cannot be e
 xplained” by the dynamics of the global system.  The aim of this talk is
  to present many motivating examples and raise some interesting questions 
 to encourage further research on this topic.
X-ALT-DESC: In this talk we present a local-global property in arithmetic d
 ynamics called <b>strong residual periodicity</b>\, as defined by Bandman\
 , Grunewald and Kunyavskii in 2010.  We start with a dynamical system indu
 ced by an endomorphism of a quasi projective variety defined over a number
  field.  This system can be reduced mod p for “almost all” primes in t
 he ring  of  integers  of  the  number  field.   We  can  then  ask  how  
 the  dynamics  of  the  global system relate to the dynamics of the system
  reduced mod p for almost all primes p.  Strong residual periodicity occur
 s when points of small period exist modulo almost every prime\,but “cann
 ot be explained” by the dynamics of the global system.  The aim of this 
 talk is to present many motivating examples and raise some interesting que
 stions to encourage further research on this topic.
DTEND;TZID=Europe/Zurich:20141212T120000
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