Explore the intricacies of the Kakeya needle problem for rectifiable sets in this 54-minute lecture delivered by Marianna Csőrnyei from the University of Chicago at the 2022 Virtual Joint Mathematics Meetings. Delve into the AWM-AMS Noether Lecture as it covers key topics including the Besicovitch theorem, Kakeya theorem, simple and discrete sets, differential structure, dimensions, and culminates in a comprehensive proof. Gain insights into this complex mathematical concept through a structured presentation that builds from foundational principles to advanced theoretical applications.
Overview
Syllabus
Introduction
Basico theorem
Kakeya theorem
Simple sets
Discrete sets
Differential structure
Dimensions
Proof
Taught by
Joint Mathematics Meetings
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