Midwest Computability Seminar

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:


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

The dimension spectrum conjecture for lines

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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