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Title: Local polynomial convexity of real surfaces in C^n near complex tangencies
Speaker: Dr. Gautam Bharali, IISc
Date: 13 April 2007
Time: 4.00 p.m.
Venue: Lecture Hall - I, Dept. of Mathematics

More than 30 years after the Harvey-Wells paper on complex approximation theory, we still do not know the answers to most of the relevant approximation-theoretic questions on, say, a smooth, compact 2-manifold (call it M) in C^2. Answering many of these questions boils down to examining the local polynomial convexity of M near those points where the (extrinsic) tangent space of M is a complex subspace of the ambient C^2. We shall quickly survey what is currently known, and then look at some recent progress based on examining the Maslov index.


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 27 Feb 2024