Winter
semester 

Date 
Speaker 
Title 
Abstract 
6.10.2023 
Presentation of the scope of the
seminar, setting programme for the winter semester 


13.10.2023 
Julia Ścisłowska 
Julia sets for holomorphic maps – basic properties. Part I 

20.10.2023 
Juliusz Pham 
Julia sets for holomorphic maps – basic properties. Part II 

27.10.2023 
Igor Buchowiec 
Local behaviour of a holomorhic map near an attracting fixed point 

30.10.2023 
Krzysztof Barański 
Dense images of straight lines under exopential iteration 

10.11.2023 
Ilona Płachecka 
Local behaviour of a holomorhic map near a rationally neutral point 

17.11.2023 
Maciej Białobrzeski 
Local behaviour of a holomorhic map near an irrationally neutral point 

24.11.2023 
Juliusz Pham 
Classification theorem for Fatou components. Part I 

1.12.2023 
Juliusz Pham 
Classification theorem for Fatou components. Part II 

8.12.2023 
Julia Ścisłowska 
Critical points and dynamics of the map. Hyperbolic Julia sets 

15.12.2023 
Ilona Płachecka 
Quadratic family – Mandelbrot set, bifurcations 

12.01.2024 
Leticia PardoSimón (University of Manchester) 
Constructing entire functions with wandering domains 
Let $f$ be a transcendental entire function, that is,
a nonpolynomial holomorphic selfmap of the complex plane.
Transcendental dynamics studies what happens to a point z under
repeated iteration of the function $f$. In particular, points might
belong to wandering domains, that is, open ‘maximal’ regions of
stability whose images under iteration are all disjoint from each
other. In this talk I will discuss how recent techniques based on
approximation theory allow us to construct a wide range of examples:
from wandering domains that remain in a bounded part of the plane
for ‘almost all’ iterates to those that converge to infinity
‘as fast as possible’. This is based on joint work with A. Glücksam,
V. Evdoridou and D. Sixsmith.

19.01.2024 
Igor Buchowiec 
Newton's method for finding roots of holomorphis functions 

26.01.2024 
Radosław Opoka 
Complex exponential family – topological and geometric properties of Julia sets 

Summer semester 

Date 
Speaker 
Title 
Abstract 
1.03.2024 
Joanna Horbaczewska 
Complex exponential family – dimension paradox 

8.03.2024 
Setting programme for the summer semester 


15.03.2024 
Łukasz Pawelec (IMPAN) 
Dimension paradox in parameter plane for exponential family 

22.03.2024 
Radosław Opoka 
On entire maps from EremenkoLyubich class. Part I 

27.03.2024 
Maciej Białobrzeski 
On entire maps from EremenkoLyubich class. Part II 

5.04.2024 
Joanna Horbaczewska 
Hyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts 

12.04.2024 
Igor Buchowiec 
Wandering domains of entire maps. Part I 

19.04.2024 
Igor Buchowiec 
Wandering domains of entire maps. Part II 

26.04.2024 
Juliusz Pham 
Dynamics of inner functions. Part I 

6.05.2024 
Krzysztof Barański 
Dynamics of inner functions 

17.05.2024 
Julia Ścisłowska 
Continua in transcendental dynamics. Part I 

24.05.2024 
Julia Ścisłowska 
Continua in transcendental dynamics. Part II 

7.06.2024 
Juliusz Pham 
Dynamics of inner functions. Part II 

14.06.2024 
Maciej Białobrzeski 
Dynamics of inner functions. Part III 
