Mathematics - Florida State University

 Binder Colloquium



Speaker: Ilia Binder
Title: Conformal Geometry of Planar Domains.
Affiliation: Harvard University.
Date: Friday, October 27.
Place and Time: Room 101 - Love Building, 3:35-4:35 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.

Abstract. We study the conformal, harmonic, and metric geometry of planar domains. To be more precise, we investigate sharp metrical bounds for the rotation of Green lines and the relation to the properties of harmonic measure -- so called universal spectra. The theory is well established for simply connected domains, since one can use the conformal mappings technique. One can establish a nice connection between the geometric properties of the boundaries of the simply connected domains, and the distortion properties of their Riemann maps.
    The conjecture is that the universal spectra for the non simply connected case is the same as for the simply connected one. We establish the conjecture for a particular class of planar domains, the basins of attraction to infity of polynomials.


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Last modified: Friday October 20th, 2000