Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Dynamical embeddings and approximations
Speaker: Malavika Mukundan, University of Michigan
Date: October 24, 2022
Time: 16:30:00 Hours
Venue: AG-77
Abstract: The words 'dynamical embedding' are broadly used to describe a phenomenon where a certain aspect of a dynamical system is embedded in another. In this talk, we explore two instances of this phenomenon in the dynamics of polynomials: firstly, embeddings of families of postcritically finite (pcf) unicritical polynomials of degree $n$ into the same family in degree $n+1$, and secondly, embeddings of Multibrot sets into the space of bicritical odd polynomials. We will also explore how such embeddings can be used to answer the following question: given an entire function with a dynamical property $X$, when can $f$ be approximated by polynomials with the same property $X$?
Title of Talk: Dynamical embeddings and approximations
Speaker: Malavika Mukundan, University of Michigan
Date: October 24, 2022
Time: 16:30:00 Hours
Venue: AG-77
Abstract: The words 'dynamical embedding' are broadly used to describe a phenomenon where a certain aspect of a dynamical system is embedded in another. In this talk, we explore two instances of this phenomenon in the dynamics of polynomials: firstly, embeddings of families of postcritically finite (pcf) unicritical polynomials of degree $n$ into the same family in degree $n+1$, and secondly, embeddings of Multibrot sets into the space of bicritical odd polynomials. We will also explore how such embeddings can be used to answer the following question: given an entire function with a dynamical property $X$, when can $f$ be approximated by polynomials with the same property $X$?