Stéphane Charpentier (Aix-Marseille University)

will speak on

On typical boundary behaviours of holomorphic functions

Time: 3:00PM
Date: Tue 30th May 2023
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: We will discuss some results confirming that a typical holomorphic function of one or several complex variables enjoys chaotic behaviours at the boundary of its domain. We will mainly focus on the case of several complex variables. For instance, a construction will be presented of a function $f$ holomorphic on such domain $D$ such that, given any continuous path $p$ in $D$ terminating at a point of the boundary of $D$, with finite length, the image by $f$ of $p$ is dense in $\mathbb{C}$. It is initially inspired by a construction of Globevnik of a function with a specific boundary behaviour, that allowed him to solve a question from complex geometry. The main ingredient is the notion of labyrinth. (Joint work with Lukasz Kosinski)

https://ucd-ie.zoom.us/j/69843939092

(This talk is part of the Analysis series.)

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