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.

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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