In one of its formulations, the conjecture asks, given a conformal map of the unit disk, for the optimal growth of the mean inverse square of the distortion around the circles of radius r as r tends to 1.

We meet on Thursdays 11-12 in 961 Evans.

February 5 February 12 February 19 February 26 March 4 March 11 March 18 April 8 April 15 April 22 April 29 May 6 |
Introduction and overview Hausdorff measures Hausdorff dimension and box counting Basic properties of the spectrum Theorems of Bertilsson and Wirths Some approaches via Loewner's method Further examples. Beta - numbers. Carleson - Makarov approach Carleson - Makarov approach continued Bertilsson's results Schwarzian derivative. Shimorin's result Concluding lecture |