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DTSTART;TZID=America/Toronto:20251023T163000
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URL:https://uwaterloo.ca/pure-mathematics/events/joint-waterloo-mcmaster-mo
 del-theory-seminar
SUMMARY:Joint Waterloo-McMaster Model Theory Seminar
CLASS:PUBLIC
DESCRIPTION:CHRIS SCHULZ\, POSTDOC AT THE UNIVERSITY OF WATERLOO\n\n_A Cobh
 am theorem for scalar multiplication_\n\nThe famous Cobham-Semenov theorem
  states that for k\, l > 1\nmultiplicatively independent\, if a subset of 
 N^d is definable both\nusing the base-k representations of its elements an
 d using the base-l\nrepresentations\, then it is definable from only the a
 ddition function\non N. We present an analogous result in the real case: f
 or alpha\, beta\nquadratic irrationals from distinct field extensions of Q
 \, if a subset\nof R^d is definable by expanding the real ordered group wi
 th Z both\nusing the multiplication by alpha and using the multiplication 
 by\nbeta\, then it is definable from only the real ordered group with Z\ni
 tself. This talk is based on joint work with Philipp Hieronymi and\nSven M
 anthe.\n\nMC 5403 
DTSTAMP:20260503T112145Z
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