| 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 Pardo-Simón (University of Manchester) |
Constructing entire functions with wandering domains |
Let $f$ be a transcendental entire function, that is,
a non-polynomial holomorphic self-map 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 Eremenko-Lyubich class. Part I |
|
| 27.03.2024 |
Maciej Białobrzeski |
On entire maps from Eremenko-Lyubich 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 |
|