2001 Ahlfors-Bers Colloquium

University Of Connecticut, Storrs CT

Investigators

Abstract

Abstract Award: DMS-0101539 Principal Investigator: William Abikoff The Ahlfors-Bers Colloquium is to be held in October 2001 at the University of Connecticut campus at Storrs. This award primarily supports the participation of graduate students, junior researchers, and speakers. Plenary lectures are planned to cover a wide-ranging agenda in geometric function theory, hyperbolic geometry, dynamics, and other topics and workshop days early in the meeting are planned to showcase junior researchers. The Ahlfors-Bers Colloquium is one of a series of conferences on geometric function theory, Riemann surfaces and related topics that have been held every three or four years since 1965. The meetings' name honors Lars Ahlfors and Lipman Bers, two giants in complex analysis who shaped the meeting's subjects over the twentieth century. The current core of geometric function theory consists mainly of Riemann surfaces (two-dimensional spaces defined over the complex numbers, such as the collection of all complex solutions to a typical single polynomial equation in two variables), Teichmueller theory (an approach to studying the variations of structure possible for a particular Riemann surface), Kleinian groups (the most important discrete groups of isometries of hyperbolic three-space), iteration of rational functions (which combines dynamical systems ideas with function theory), and hyperbolic manifolds. This core reaches back 150 years and meets or includes some of the most active specialties in current mathematical research. Abstract Award: DMS-0101539 Principal Investigator: William Abikoff The Ahlfors-Bers Colloquium is to be held in October 2001 at the University of Connecticut campus at Storrs. This award primarily supports the participation of graduate students, junior researchers, and speakers. Plenary lectures are planned to cover a wide-ranging agenda in geometric function theory, hyperbolic geometry, dynamics, and other topics and workshop days early in the meeting are planned to showcase junior researchers. The Ahlfors-Bers Colloquium is one of a series of conferences on geometric function theory, Riemann surfaces and related topics that have been held every three or four years since 1965. The meetings' name honors Lars Ahlfors and Lipman Bers, two giants in complex analysis who shaped the meeting's subjects over the twentieth century. The current core of geometric function theory consists mainly of Riemann surfaces (two-dimensional spaces defined over the complex numbers, such as the collection of all complex solutions to a typical single polynomial equation in two variables), Teichmueller theory (an approach to studying the variations of structure possible for a particular Riemann surface), Kleinian groups (the most important discrete groups of isometries of hyperbolic three-space), iteration of rational functions (which combines dynamical systems ideas with function theory), and hyperbolic manifolds. This core reaches back 150 years and meets or includes some of the most active specialties in current mathematical research.