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Connections between the three areas have been recognized for several decades now, and mathematicians have progressively realized that the study of them requires taking into account certain important geometric structures associated with the underlying metric and measure in high-dimensional and infinite-dimensional spaces.
These proceedings of the January 2006 conference include 31 papers covering a wide range of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasi-conformal mappings, minimal surfaces and dynamics in infinite-dimensional spaces along with other related subjects.