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SUMMARY:Alfredo Costa (University of Coimbra)
DTSTART:20200610T103000Z
DTEND:20200610T113000Z
DTSTAMP:20260423T011101Z
UID:YSseminar/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YSseminar/5/
 ">The profinite Schützenberger group defined by a symbolic dynamical syst
 em</a>\nby Alfredo Costa (University of Coimbra) as part of York semigroup
  seminar\n\n\nAbstract\nIn finite semigroup theory\, free profinite semigr
 oups play a very\nimportant role. Around 2005\, Almeida introduced a conne
 ction with\nsymbolic dynamics that proved to be helpful to understand thei
 r\nstructure. One of the most relevant aspects of this connection is the\n
 association between an irreducible symbolic dynamical system X and the\nSc
 hützenberger group G(X) of a special regular J-class\, defined by X\, of\
 nthe free profinite semigroup over the alphabet of X.\n\nThe profinite gro
 up G(X) is a dynamical invariant. In the case of\nminimal systems\, it has
  a sort of geometric interpretation: it is the\ninverse limit of the profi
 nite completions of the fundamental groups of\nthe finite Rauzy graphs of 
 X.\n\nIn this talk\, after introducing the basic concepts involved\, we su
 rvey some of the main results about the group G(X)\,\nending\, if time per
 mits\, with an application to the theory of codes.\n
LOCATION:https://researchseminars.org/talk/YSseminar/5/
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