Workshop on Hyperbolic Geometry

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AbstractAward: DMS-0533519Principal Investigator: Yair MinskyA workshop on "Hyperbolic Geometry" will take place at the FieldsInstitute in Toronto, Ontario on May 23-27, 2006. The workshopis associated to the winter program at the Institute on"Holomorphic Dynamics, Laminations, and Hyperbolic Geometry" andwill focus on the assimilation of recent advances in hyperbolicgeometry and 3-manifolds, the consolidation of new techniques,and the forging of new directions and connections with relatedfields. Hyperbolic geometry and the study of 3-manifolds havearrived at a crucial juncture due to Perelman's results onThurston's Uniformization Conjecture and the solutions of otherimportant problems including the Tameness Conjecture, the EndingLamination Conjecture, and the Ahlfors Measure Conjecture. This award will support U.S. participants, especially juniorresearchers, in a workshop at an international research center.The topic of the workshop, hyperbolic geometry, has its rootsin the 19th century search for geometries that satisfy all ofEuclid's axioms but the Parallel Postulate, and has turned outto be a critically important structure for 2- and 3-dimensionalspaces. More information on the workshop and its parent programat the Fields Institute is available at http://www.fields.toronto.edu/programs/scientific/05-06/holodynamics/.