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SUMMARY:Donald Stull (Northwestern University)
DTSTART:20220124T213000Z
DTEND:20220124T223000Z
DTSTAMP:20260423T004824Z
UID:CTA/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CTA/72/">The
  dimension spectrum conjecture for lines</a>\nby Donald Stull (Northwester
 n University) as part of Computability theory and applications\n\n\nAbstra
 ct\nEffective dimension gives a fine-grained measure of randomness of indi
 vidual points in Euclidean space. Let L be a line in the Euclidean plane. 
 The dimension spectrum sp(L) is the set of all effective dimensions of ind
 ividual points on L. Jack Lutz\, in the early 2000s\, posed the dimension 
 spectrum conjecture. This conjecture states that\, for every line L\, sp(L
 ) contains a unit interval. In this talk\, we present a proof of the dimen
 sion spectrum conjecture. We also discuss its relation to open problems in
  geometric measure theory\, and avenues for future research.\n
LOCATION:https://researchseminars.org/talk/CTA/72/
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