[Report] Colloquia on “On the stability of certain higher degree polynomials” by Professor Shanta Laishram – 04 November 2024

REPORT
Special Lecture: Colloquia on “On the stability of certain higher degree polynomials” by Professor Shanta Laishram – 04 November 2024
Type: Special Lecture – Colloquium
Event Date: 04 Nov 2024
Venue: Dept. of Mathematics, RKMVERI
Campus: Belur Campus
Department: Mathematics
Program: MSc in Mathematics

Dept. of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI) has organised an colloquia on “On the stability of certain higher degree polynomials” by Professor Shanta Laishram, ISI Delhi on 04 November 2024.

Title: On the stability of certain higher degree polynomials

Abstract

We study the stability of $f(z)=z^d+\frac{1}{c}$ for $d\geq 3$ and $c$ a non-zero integer. We show that whenever $f(z)$ is irreducible over rationals, all its iterates are irreducible over rationals, that is, $f(z)$ is stable over rationals, for infinitely many values of $d$. This is a joint work with R. Sarma and H. Sharma.

Activity Coordinator(s)
Faculty/Staff Name Details
Sukumar Das Adhikari (Primary Coordinator) Mathematics – Belur Campus
Stephan Baier Mathematics – Belur Campus
Participant Information
RKMVERI Faculty & Staff 8
RKMVERI Students 40