**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 ⊂ C ^{n}* 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.