Dept. of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI) has organised an colloquia on “Attracting basins and automorphisms of C^n, n >= 2” by Prof. Sayani Bera, Indian Association for the Cultivation of Science on 27 March 2025.
Title: Attracting basins and automorphisms of C^n, n >= 2
Abstract
Unlike the complex plane, the automorphisms, i.e., the bijective holomorphic maps of $\mathbb{C}^n, n \ge 2$ form a complicated group (under composition). The goal of this talk will be to explore (iterative) dynamics of an automorphism of $\mathbb{C}^2$, near an attracting fixed point. Additionally, we will generalise this model for non-autonomous (random) dynamical systems of automorphisms, which leads to the solution of a long-standing open problem called the Bedford’s Conjecture. Also, if time permits, we will briefly emphasize on the relevant ideas that extend the above result to $\mathbb{C}^n, n \ge 3$. This is a joint work with Kaushal Verma.
| Faculty/Staff Name | Details |
|---|---|
| Stephan Baier (Primary Coordinator) | Mathematics – Belur Campus |
| S Ilangovan | Mathematics – Belur Campus |
| RKMVERI Faculty & Staff | 6 |
| RKMVERI Students | 30 |