Colloquium
4:00 p.m., Monday
(February 23rd)
Math Bldg. Room 203
Burak Erdogan
University of California, Berkeley
Distance set problem and weighted Fourier extension estimates
Falconer's distance set conjecture states that if a compact subset E of
\mathbb{R}^d (d>1) has Hausdorff dimension greater than d/2 then its
distance set, D(E):=\{xy:x,y\in E\}, has positive Lebesgue measure.
In this lecture, we will discuss the recent progress in this conjecture and
closely related Fourier extension estimates relative to fractal measures.
Refreshments will be served at 3:45 p.m. in the Faculty
Lounge, Math Annex (Room 1115).
