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SUMMARY:Savinien Kreczman (Université de Liège)
DTSTART:20250527T120000Z
DTEND:20250527T130000Z
DTSTAMP:20260423T053017Z
UID:OWNS/150
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/150/">P
 ositionality for Dumont-Thomas numeration systems</a>\nby Savinien Kreczma
 n (Université de Liège) as part of One World Numeration seminar\n\n\nAbs
 tract\nDumont-Thomas numeration systems are a subclass of abstract numerat
 ion systems where the factorisation of the fixed point of a substitution i
 s used to represent numbers. A positional numeration system is one where a
  weight can be assigned to each position so that the evaluation map is an 
 inner product with the weights. For general abstract numeration systems\, 
 deciding positionality is an open problem. In this talk\, we define an ext
 ension of Dumont-Thomas numeration systems to all integers. We then offer 
 a criterion for deciding the positionality of such a system. If time permi
 ts\, we show a link to Bertrand numeration systems\, another familiar clas
 s of numeration systems.\n\nJoint work with Sébastien Labbé and Manon St
 ipulanti.\n
LOCATION:https://researchseminars.org/talk/OWNS/150/
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