Date & Time: Thursday, April 10, 2014, 16:00-17:00.
Venue: Ramanujan Hall
Title: Bounds for invariant distances on pseudoconvex Levi corank one domains and applications
Speaker: G. P. Balakumar, ISI Chennai
Abstract: Let D ⊂ Cn be a smoothly bounded pseudoconvex Levi corank one domain. The main goal of this talk is to discuss bounds for the Carathéodory, Kobayashi and the Bergman distance between a given pair of points in D in terms of parameters that reflect the Levi geometry of ∂D and the distance of these points to the boundary. These bounds are useful in solving various mapping problems in several complex variables.