This is a gentle reminder for today's Mathematics Department Colloquium as
detailed below:
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Mathematics Colloquium
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Date: 2nd April, 2012
Time: 4:00 PM
Speaker: Dr. Prachi Mahajan
Venue: Ramanujan Hall
Title: Some aspects of the Kobayashi and Caratheodory metrics on
pseudoconvex domains in C^n.
Abstract: This talk considers the biholomorphic invariant introduced by B.
Fridman on three classes of domains: strongly pseudoconvex domains in C^n,
weakly pseudoconvex domains of finite type in C^2, and convex finite type
domains in C^n. We study the boundary behaviour of Fridman's invariant
using the scaling method. As applications of our results, we provide an
alternate proof of the Wong-Rosay theorem, a characterization of analytic
polyhedra with noncompact automorphism group, and a description, in terms
of Euclidean parameters, of the Kobayashi balls on pseudoconvex domains in
C^n .
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