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UID:DSC-13538
DTSTART;TZID=Europe/Berlin:20171019T131500
SEQUENCE:1507826247
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20171019T141500
URL:https://dresden-science-calendar.de/calendar/en/detail/13538
LOCATION:TUD Willers-Bau\, Zellescher Weg 12-1401069 Dresden
SUMMARY:Oprsal: Infinite algebras with few subalgebras of powers 
CLASS:PUBLIC
DESCRIPTION:Speaker: Jakub Oprsal\nInstitute of Speaker: TU Dresden\, Insti
 tut für Algebra\nTopics:\nMathematik\n Location:\n  Name: TUD Willers-Bau
  (WIL C 133)\n  Street: Zellescher Weg 12-14\n  City: 01069 Dresden\n  Pho
 ne: \n  Fax: \nDescription: For a finite algebra\, there can be up to doub
 ly exponentially many in $n$ subalgebras of the $n$-th power. It is known 
 that if this is not the case\, the algebra has few subpowers\, i.e.\, ther
 e is a polynomial $p$ such that there are at most $2^{p(n)}$ subalgebras o
 f the $n$-power. All finite algebras having this property have been charac
 terized in 2009 by Berman\, Idziak\, Markovic\, McKenzie\, Valeriote\, and
  Willard. In the talk\, we will focus on infinite algebras with few subpow
 ers\; in particular we require that we have a finite number of subalgebras
  of powers. These algebras seems to be much rarer than their finite counte
 rparts. We will give a few examples\, and describe how the clasification o
 f the finite algebras generalize to the infinite\, and in particular to al
 gebras that are obtained by taking polymorphisms of countable structures. 
DTSTAMP:20260614T134057Z
CREATED:20171012T163727Z
LAST-MODIFIED:20171012T163727Z
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