Seminars & Colloquia

Neil Lutz

Iowa State University

"Fractal Slices, Projections, and Products via Algorithmic Dimension"

Tuesday March 09, 2021 09:30 AM
Location: N/A, EB2 NCSU Centennial Campus
Zoom Meeting Info
(Visitor parking instructions)


Abstract: This talk will describe surprising applications of the theory of computing to questions in mathematical analysis. In particular, I will explain how algorithmic information theory can be used to remove structural hypotheses from prominent classical theorems in geometric measure theory. These include Marstrand's slicing theorem, Marstrand's projection theorem, and a characterization of packing dimension in terms of product sets.
Short Bio: Neil Lutz is an affiliate assistant professor at Iowa State University. His research interests include game theory, algorithmic information theory, and fractal geometry. Previously, he was a postdoctoral researcher and lecturer at the University of Pennsylvania and a lecturer at Iowa State University. He completed his Ph.D. at Rutgers University in 2017, on the topic of 'Algorithmic Information, Fractal Geometry, and Distributed Dynamics,' advised by Rebecca Wright.

Host: Anthony Fortune-Linton, CSC

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