School of Mathematics Seminars and Lectures

On the stability of certain higher degree polynomials

by Prof. Shanta Laishram (Indian Statistical Institute, New Delhi)

Thursday, April 27, 2023 from to (Asia/Kolkata)
at AG-77
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.