3:00 p.m., Friday (October 31, 2003)
Math Annex 1100
Professor Michael Lacey
Georgia Institute of Technology
Convergence of Fourier Series: Past, Present, Future
The starting point is Lennart Carleson's celebrated theorem on the
pointwise convergence. Over the last few years, this result, and its
method of proof, has been the subject of renewed interest, and the result
is the key result in an emerging set of Theorems.
We explain the Carleson theorem, why it is interesting, and elements of a
new proof of the result obtained with Christoph Thiele. The new results
related to Carleson's theorem shed light on the range of applicability
of the ideas of the proof. A set of challenging problems remain open.
Refreshments will be served at 2:45 p.m. in the Faculty Lounge,
Math Annex (Room 1115).