Introduction Who is Lennart Carleson? Why has he been awarded the Abel Prize for 2006? The Abel Prize for 2006 in a broader perspective Precise (mathematical) formulations of Carleson's results Popular presentations of Carleson's results Convergence of Fourier series The Corona theorem and Carleson measure The Hénon map Kakeya's needle problem Background material Jean Baptiste Joseph Fourier (1768-1830) Institut Mittag-Leffler Fourier analysis Discrete dynamic systems References to the illustrations
The background paper as a pdf
Fourier analysis http://www.falstad.com/fourier/ http://www.jhu.edu/~signals/fourier2/ http://www.univie.ac.at/future.media/moe/galerie/fourier/fourier.html
The Hénon map http://www.cmp.caltech.edu/~mcc/Chaos_Course/Lesson5/Demo1.html http://library.thinkquest.org/26242/full/fm/fm12.html http://www.cs.laurentian.ca/badams/Attractors2D/HenonApplet.html