2001 Ahlfors-Bers Colloquium

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AbstractAward: DMS-0101539Principal Investigator: William AbikoffThe Ahlfors-Bers Colloquium is to be held in October 2001 at theUniversity of Connecticut campus at Storrs. This award primarilysupports the participation of graduate students, juniorresearchers, and speakers. Plenary lectures are planned to covera wide-ranging agenda in geometric function theory, hyperbolicgeometry, dynamics, and other topics and workshop days early inthe meeting are planned to showcase junior researchers.The Ahlfors-Bers Colloquium is one of a series of conferences ongeometric function theory, Riemann surfaces and related topicsthat have been held every three or four years since 1965. Themeetings' name honors Lars Ahlfors and Lipman Bers, two giants incomplex analysis who shaped the meeting's subjects over thetwentieth century. The current core of geometric function theoryconsists mainly of Riemann surfaces (two-dimensional spacesdefined over the complex numbers, such as the collection of allcomplex solutions to a typical single polynomial equation in twovariables), Teichmueller theory (an approach to studying thevariations of structure possible for a particular Riemannsurface), Kleinian groups (the most important discrete groups ofisometries of hyperbolic three-space), iteration of rationalfunctions (which combines dynamical systems ideas with functiontheory), and hyperbolic manifolds. This core reaches back 150years and meets or includes some of the most active specialtiesin current mathematical research.AbstractAward: DMS-0101539Principal Investigator: William AbikoffThe Ahlfors-Bers Colloquium is to be held in October 2001 at theUniversity of Connecticut campus at Storrs. This award primarilysupports the participation of graduate students, juniorresearchers, and speakers. Plenary lectures are planned to covera wide-ranging agenda in geometric function theory, hyperbolicgeometry, dynamics, and other topics and workshop days early inthe meeting are planned to showcase junior researchers.The Ahlfors-Bers Colloquium is one of a series of conferences ongeometric function theory, Riemann surfaces and related topicsthat have been held every three or four years since 1965. Themeetings' name honors Lars Ahlfors and Lipman Bers, two giants incomplex analysis who shaped the meeting's subjects over thetwentieth century. The current core of geometric function theoryconsists mainly of Riemann surfaces (two-dimensional spacesdefined over the complex numbers, such as the collection of allcomplex solutions to a typical single polynomial equation in twovariables), Teichmueller theory (an approach to studying thevariations of structure possible for a particular Riemannsurface), Kleinian groups (the most important discrete groups ofisometries of hyperbolic three-space), iteration of rationalfunctions (which combines dynamical systems ideas with functiontheory), and hyperbolic manifolds. This core reaches back 150years and meets or includes some of the most active specialtiesin current mathematical research.