Mathematics Colloquium: Erdogan Abstract, Spring 2004

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Mathematics Colloquium, Spring 2004
Special Lecture presented by

M. Burak Erdogan
University of California at Berkeley

Distance Set Problem and Weighted Fourier Extension Estimates

Falconer's distance set conjecture states that if a compact subset $E$ of $\mathbb{R}^n$, $n>1$, has Hausdorff dimension greater than $n/2$, then the distance set of $E$, $D(E):=\{|x-y|: x,y\in E\}$, has positive Lebesgue measure. This is a continuum version of Erdos' distinct distances conjecture.

In this lecture, I'll talk about the recent progress in this problem and the related Fourier extension estimates relative to fractal measures.

Friday, January 16, 2004, 245 Altgeld Hall, 4:00 p.m.

Mathematics Colloquia homepage

Mathematics Colloquium, Spring 2004 Special Lecture presented by

Mathematics Colloquium, Spring 2004
Special Lecture presented by