Selected papers from the conferences: "Combinatorial and Geometric Group Theory with Applications" (GAGTA), held Aug. 27-31, 2007 at the University of Dortmund; "Fields Workshop in Asymptotic Group Theory and Cryptography," held Dec. 14-16, 2007 at Carlton University, Ottawa, Canada; "Workshop on Actions on Trees, Non-Archimedian Words, and Asymptotic Cones," held Dec. 17-21, 2007 at Saint Sauveur, Montreal.

Includes bibliographical references.

Subgroups of small index in aut(fn) and kazhdan's property (t) / O. Bogopolski / R. Vikentiev -- Dynamics of free group automorphisms / P. Brinkmann -- Geodesic rewriting systems and pregroups / V. Diekert / A.J. Duncan / A.G. Myasnikov -- Regular sets and counting in free groups / E. Frenkel / A.G. Myasnikov / V.N. Remeslennikov -- Twisted conjugacy for virtually cyclic groups and crystallographic groups / D. Goncalves / P. Wong -- Solving random equations in Garside groups using length functions / M. Hock / B. Tsaban -- An application of word combinatorics to decision problems in group theory / A. Juhasz -- Equations and fully residually free groups / O. Kharlampovich / A. G. Myasnikov -- The fn-action on the product of the two limit trees for an iwip automorphism / M. Lustig -- Mather invariants in groups of piecewise-linear homeomorphisms / F. Matucci -- Algebraic geometry over the additive monoid of natural numbers: systems of coefficient free equations / P.V. Morar / A.N. Shevlyakov -- Some graphs related to Thompson's group f / D. Svachuk -- Generating typles of virtually free groups / R. Weidmann -- Limits of Thompson's group f / R. Zarzycki .

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