# Math 595 Mini-course: Gromov hyperbolic groups and their boundaries, Fall 2009

## Section GHS meeting MWF 12:00-12:50 PM in Room 443, Altgeld Hall; Aug 24 - Oct 16, 2009.

### Introduction

- Instructor: John Mackay
Office: 109 Altgeld Hall,

Phone: (217)244-4697,

Email: jmmackay at illinois dot edu

- Course website:
http://www.math.uiuc.edu/~jmmackay/09f-595.html
- Prerequisites: Basic topology, analysis.
Some knowledge of hyperbolic geometry helpful, but not required.
- Office hours: To be announced.
- Textbook: None required, see below for references.

Here is the original course description.
### References

No textbook is required, but here are some helpful references.
**Books:**
- Mikhail Gromov,
*Hyperbolic groups*, pp.75-263,
*Essays in group theory*, Springer, 1987.

Where it all began.
- Étienne Ghys and and Pierre de la Harpe, P. (editors),
*Sur les groupes hyperboliques d'après Mikhael Gromov*,
Birkhäuser Boston Inc., 1990.
- M. Coornaert, T. Delzant and A. Papadopoulos,
*Géométrie et théorie des groupes*,
Springer-Verlag, 1990.
- H. Short (editor), and B. Bowditch, Notes in
*Group theory from a geometrical viewpoint*,
World Scientific Publishing Co., Inc., 1991.

These references are still excellent after nearly twenty years.
The CDP book is available online through the Illinois library website.
- Martin Bridson and André Haefliger,
*Metric spaces of non-positive curvature*, Springer-Verlag, 1999.

A great reference on a multitude of topics.
- Pierre be la Harpe,
*Topics in geometric group theory*,
University of Chicago Press, 2000.

Lots of interesting examples.
- Brian Bowditch,
*A course on geometric group theory*,
Mathematical Society of Japan, 2006.

Also available at his website.

**Other references:**
There is a blog/textbook of Henry Wilton's course at UT Austin from Spring 2009
online here.

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