Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
Speaker |
: |
Dr. Gautam Bharali, IISc |
Affiliation | : | Dept. of Mathematics, IISc, Bangalore |
Subject Area |
: |
Mathematics
|
Venue |
: |
Lecture Hall - I, Dept of Mathematics
|
Time |
: |
4.00 pm
|
Date |
: |
April 13, 2007 (Friday) |
Title |
: |
Local polynomial convexity of real surfaces in C^n near complex tangencies |
Abstract | : |
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. |