Hyperbolic Geometry

Hyperbolic Geometry in Two and Three Dimensions

Course Info

Tutorial Description: html pdf ps

Special Meeting Time: Due to the fourth of July holiday, the second lecture will be held at 5:30pm on Thursday, July 5.

Links

The Geometry Center (formerly The Geometry Supercomputer Project, producers of the video Not Knot).
Gallery of images, many related to hyperbolic geometry (from Curt McMullen's web page).
Interactive Hyperbolic Geometry - Java applets and animations demonstrating hyperbolic geodesics, isometries, and trigonometry in different models. (No longer available. Sorry!)
Pictures and Animations in the hyperbolic plane, postscript and MPEG.

Assignments

Week Starting...	Reading	Homework
Jul 2	Th 2.1-2.2	Th 2.1.2, (2.1.4), 2.2.7, 2.2.13
Jul 9	Th 2.3-2.4, 1.1-1.2	2.3.6, 2.4.11, 2.4.14, 1.2.2, 1.2.5
Jul 16	Th 1.3, 3.1, BP B.2-B.4	Th 1.1.2, 1.2.6, 1.3.2, 1.3.13, 2.2.17, 4.6.19
Jul 23	Th 3.2-3.4, BP B	Th 2.3.12
Jul 30	--	(research project)
Aug 6	--	(research project)

Th = From Thurston's Book; BP = Handout from Benedetti and Petronio

Presentation Schedule

Date	7:00 - 7:45	7:50 - 8:35
Jul 30	G. Anderson, Shapes of Hexagons	A. Shwayder, Polygons and Tesselations
Aug 1	S. Worsley, Shapes of Pentagons	M. Hill, Topology of Hyperbolic Manifolds
Aug 6	A. Tievsky, Automorphisms and Orbifolds	N. Hill, Hyperbolic Geometry via Lie Groups
Aug 8	V. Chu, The Modular Group	W. Ho, The Gauss-Bonnet Theorem

David Dumas
ddumas@math.harvard.edu