Here is a list of suggested readings to get prepared for the meeting.
Bachir Bekka, Pierre de la Harpe and Alain Valette, Kazhdan's property (T), New Mathematical Monographs (No. 11), Cambridge Univ Press 2008
Noel Brady, Tim Riley, Hamish Short, The geometry of the word problem for finitely generated groups, Advanced Courses in Mathematics CRM Barcelona, Birkhäuser-Verlag, 2007
Calegari, scl, Mathematical Society of Japan Monographs, to appear in 2009.

Steve Gersten, Introduction to hyperbolic and automatic groups, Notes from the Banff conference, 1996
Etienne Ghys and Pierre de la Harpe, Sur les groupes hyperboliques d'après Mikhael Gromov (Bern, 1988), Progr. Math., 83, Birkhäuser Boston, Boston, MA, 1990. English translation
Slava Grigorcuk and Igor Pak, Groups of intermediate growth: an introduction for beginners, arXiv:math/0607384
Pierre de la Harpe, Topics in geometric group theory, The University of Chicago Press, 2000
Chuck Miller, Combinatorial group theory, Notes for the ANU Workshop January/February 1996
Walter Neumann and Mike Shaprio, A short course in geometric group theory, Notes for the ANU Workshop January/February 1996
Mark Sapir, Some group theory problems, arXiv 0704.2899
Hamish Short (ed) MSRI notes on hyperbolic groups, (version pdf by public demand) Group Theory from a Geometrical Viewpoint (E. Ghys, A. Haefliger, A. Verjovsky, ed) Proc. ICTP Trieste 1990, WorldScientific, Singapore, 1991, 3--64
Wikipedia page on geometric group theory