Department of Mathematics

Speaker: Richard Oberlin
Title: Some Variants of the Kakeya Problem
Affiliation: Florida State University
Date: Friday, August 28, 2015
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. A Kakeya set is a subset of Rⁿ which contains a translate of every unit line segment. The Kakeya problem asks: "What is the minimum size (in terms of dimension) of a Kakeya set?" This question has received much attention over the years due to its connection to many prominent open problems in harmonic analysis. We will discuss some history of the original problem and progress on several variants (higher dimensional, finite-field, non direction-separated, and estimates for associated operators) of the problem.