Midwest Computability Seminar

XXVIII
Part i


The Midwest Computability Seminar will meet remotely in the winter and spring of 2022, jointly with the Computability Theory and Applications Online Seminar. The recurring Zoom link is:

https://notredame.zoom.us/j/99754332165?pwd=RytjK1RFZU5KWnZxZ3VFK0g4YTMyQT09

Meeting ID: 997 5433 2165

Passcode: midwest


slides    Panopto video    YouTube video


DATE: Monday, January 24th, 2022

TIME: 3:30 - 4:30 PM Central Time


SPEAKER: Donald Stull - Northwestern University

TITLE: The dimension spectrum conjecture for lines

ABSTRACT: Effective dimension gives a fine-grained measure of randomness of individual 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 individual 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 dimension spectrum conjecture. We also discuss its relation to open problems in geometric measure theory, and avenues for future research.



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