Riemann surfaces in dynamics, topology and arithmetic
AMS Colloquium Lectures
1:00 pm, 19-21 January 2000, Washington DC
Curtis T. McMullen,
Harvard University
Lectures slides:
I. The hyperbolic Laplacian and the Mandelbrot set
II. The shape of moduli space
III. From dynamics on surfaces to rational points on curves
References:
The Mandelbrot set is universal
Hausdorff dimension and conformal dynamics II: Geometrically finite rational maps
The moduli space of Riemann surfaces is Kähler hyperbolic
From dynamics on surfaces to rational points on curves
The Heavenly Emporium of Benevolent Knowledge
Illustrations:
Mandelbrot set blowup
Newton's method bifurcations
The Bers embedding of Teichmüller space