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SUMMARY:Intervals in the Hales-Jewett theorem. -Eero Raty (dpmms). - Eero 
 Raty (dpmms)
DTSTART:20200307T120000Z
DTEND:20200307T123000Z
UID:TALK140743@talks.cam.ac.uk
CONTACT:73969
DESCRIPTION:The Hales-Jewett theorem for alphabet of size 3 states that wh
 enever the cube {1\, 2\, 3}^n is r-coloured there exists a monochromatic l
 ine for n large. Given a line l\, the set of active coordinates of l is th
 e set of those coordinates that are allowed to vary. In this talk I will c
 onsider the following question: given r\, what is the smallest number t so
  that for any r-colouring of [3]^n (n large) there exists a monochromatic 
 line whose active set of coordinates is an union of at most t intervals.
LOCATION:Winstanley Lecture Theatre\, Trinity College
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