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UID:69dbd94ac87f3
DTSTAMP:20260412T134130
DTSTART:20170424T154500
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TRANSP:OPAQUE
DTEND:20170424T154500
URL:https://murmitoyen.com/events/vanille/udem/detail/760106-lautomata-in-n
 umber-theoryr
LOCATION:Université de Montréal - Pavillon André-Aisenstadt\, 2920\, che
 min de la Tour\, Montréal\, QC\, Canada\, H3T 1N8
SUMMARY:«Automata in Number Theory»
DESCRIPTION:Conférence de Boris Adamczewski\, CNRE et Université de Lyon
 \nFinite automata form a class of very basic Turing machines. In number th
 eory\, they can be used to define in a natural way sequences and sets whic
 h are said to be 'automatic'. One of the main interest of these automatic 
 structures is that they enjoy some strong regularity without being trivial
  at all. They can be thus though of as lying somewhere between order and c
 haos\, though in many aspects they appear as essentially regular.\nThis s
 pecial feature of automatic structures leads to various applications of au
 tomata theory to number theory. As part of my Aisenstadt chair\, I will gi
 ve a series of lectures describing some links between these automatic stru
 ctures and some classical number theoretical problems. Such problems inclu
 de the representation of integers and real numbers in an integer base\, Di
 ophantine equations and decidability\, the study of arithmetic differentia
 l equations\, transcendence and algebraic independence. Researches in this
  area are currently funded by the European Research Council (ERC) under th
 e European Union's Horizon 2020 research and innovation programme under th
 e grant Agreement No 648132.
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