| Description: | [DMS Seminar] Dr Sayani Bera (Harish-Chandra Research Institute) -- Shift-like Automorphisms and Dynamics of Semigroups of Entire Maps of C^k |
| Date: | Friday, Jan 01, 2016 |
| Time: | 11 a.m. - noon |
| Venue: | G09, Lecture Hall Complex |
| Details: | In the first part we will use shift-like automorphisms of C^k, k>2 to construct non-degenerate entire maps and Fatou-Bieberbach Domains in C^k, k>2. This generalizes results from Dixon-Esterle '89 and Buzzard '2003. In the second part we study the dynamical properties of a semigroup generated by more than one holomorphic endomorphisms of C^k. Dynamics of semigroups of rational maps in Riemann sphere is studied by Hinkkanen-Martin '96 and the dynamics for the family of iterates of a single holomorphic endomorphism of C^k is studied by Fornaess-Sibony'98. |
| Calendar: | Seminar Calendar (entered by saugata.bandyopadhyay) |