| Description: | [MMS seminar (Job talk)] Dr. Sushil Gorai (Indian Statistical Institute, bangalore Centre) -- Polynomial convexity of finitely many totally-real subspaces of $\mathbb{C}^n$ of maximal dimension |
| Date: | Wednesday, May 21, 2014 |
| Time: | 3 p.m. - 4 p.m. |
| Venue: | Class Room 2, JC Bose |
| Details: | In the first part of the talk we will discuss polynomial convexity and its importance in polynomial approximations. Then we will discuss polynomial convexity of some specific configurations, namely union of finitely many totally-real subspaces of $\cplx^n$ of real dimension n. A real subspace of $\mathbb{C}^n$ is said to be totally-real if it does not have any complex subspaces. We can parametrize an N-tuple of totally-real subspaces with a mild transversality condition by an (N-1)-tuple of matrices with real entries. We will use this parametrization to present some sufficient conditions for polynomial convexity of finitely many totally real subspaces. The problem for pair of transverse totally-real subspaces was solved by Weinstock. |
| Calendar: | Meeting Calendar (entered by ssroy) |