Applied Topology and Dynamical Systems

Gdańsk University of Technology, January 14–16, 2025

Aims and scope
The purpose of the conference is to stimulate dialogue between researchers that work at the intersection of the fields of applied topology and dynamical systems, and are also interested in applying related mathematical methods to real-world problems, such as the analysis of biomedical time series data. In particular, selected scientists from Gdańsk University of Technology, University of Gdańsk, University of Ljubljana, Hebei Normal University, Adam Mickiewicz University, and Dioscuri Centre in Topological Data Analysis are going to deliver talks at the conference and discuss current and future ways of academic collaboration and joint research projects.

Highlights of Research in Progress
Considerable part of the conference will be assigned to short talks (10 minutes + 5 minutes discussion). These talks are going to be devoted to highlighting currently conducted research, especially to showing interesting projects of PhD and MSc students related to the theme of the conference.

Organizing Committee
Grzegorz Graff, Paweł Pilarczyk, Justyna Signerska-Rynkowska

Registration Fee
There is no registration fee. However, the meals, including coffee breaks and dinners, must be arranged and covered by each participant individually.

Registration Procedure
If you are interested in attending the conference, please, register your participation by sending an email to Paweł Pilarczyk (pawel.pilarczyk@pg.edu.pl) with a copy to Grzegorz Graff (grzegorz.graff@pg.edu.pl) no later than on December 12, 2024, and send an abstract of your talk using the template provided below no later than on January 7, 2025. The duration of the talks is planned to be 15–30 minutes. The main purpose of the meeting is to develop joint research projects. The conference is expected to be a relatively small gathering, allowing for focused discussions and close interactions between participants.

Abstracts
All the speakers are invited to send a PDF and/or TEX file with an abstract of their talk to Paweł Pilarczyk (pawel.pilarczyk@pg.edu.pl). Please, use the following LaTeX template: ATDS2025_YourName.tex.

Location
All the talks and discussions will take place at Gdańsk University of Technology in the Faculty Council room no. 2/07 in the Nanotechnology Center, building no. 4 on the Campus Map.

Day One: Tuesday, January 14, 2025
9:30–10:00 – Petar Pavešić (University of Ljubljana and Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia): Parametrized topological complexities of maps [Abstract PDF]
10:00–10:30 – Žiga Virk (University of Ljubljana, Slovenia): Mapping spaces of persistence diagram into the Hilbert space with controlled distortion [Abstract PDF]
10:30–11:30 – coffee break
11:30–12:00 – Wacław Marzantowicz (Adam Mickiewicz University, Poznań): Dynamics of homeomorphisms of surfaces [Abstract PDF]
12:00–12:30 – Łukasz Michalak (Adam Mickiewicz University, Poznań): Surface homeomorphisms of algebraically finite type [Abstract PDF]
12:30–12:45 – Patryk Topór (Gdańsk Tech): Fixed point indices of iterates of an orientation-reversing homeomorphism at a fixed point which is an isolated invariant set [Abstract PDF]
12:45–13:00 – Michał Palczewski (Gdańsk Tech): Persistent homology of maps and relations [Abstract PDF]
13:00–15:00 – lunch break
15:00–17:00 – additional talks, discussions, etc.
19:00 – dinner

Day Two: Wednesday, January 15, 2025
9:30–10:00 – Paweł Dłotko (Dioscuri Centre in Topological Data Analysis, Warsaw): TDA meets dynamics [Abstract PDF]
10:00–10:30 – Michał Bogdan (Institute of Mathematics of the Polish Academy of Sciences): Topology meets mechanics: predicting the response to compression in metallic porous materials using Fourier-based computational approaches and topological data analysis [Abstract PDF]
10:30–11:30 – coffee break
11:30–11:45 – Jakub Malinowski (Dioscuri Centre in Topological Data Analysis): Predicting mechanical properties of porous materials using topological data analysis [Abstract PDF]
11:45–12:00 – Laura Mieczkowska (University of Gdańsk): Dold sequences for group actions [Abstract PDF]
12:00–12:15 – Mateusz Gałka (University of Gdańsk): Stability of cellular automata [Abstract PDF]
12:15–12:30 – Alan Żeromski (Gdańsk Tech): Nielsen coincidence number of (n,m)-valued pairs of maps of a circle [Abstract PDF]
12:30–12:45 – Mikołaj Rosman (Gdańsk Tech): Bistability and chaos in the discrete two–gene Andrecut–Kauffman model [Abstract PDF]
12:45–13:00 – Nikodem Mierski (Gdańsk Tech): Chaotic itinerancy in globally coupled logistic maps [Abstract PDF]
13:00–15:00 – lunch break
15:00–17:00 – additional talks, discussions, etc.
19:00 – dinner

Day Three: Thursday, January 16, 2025
9:30–10:00 – Jun Wang (Hebei Normal University, China): Generalized configuration space and its homotopy groups [Abstract PDF]
10:00–10:30 – Piotr Bartłomiejczyk (Gdańsk Tech): Itineraries of nonoverlapping generalized Lorenz-like maps [Abstract PDF]
10:30–11:30 – coffee break
11:30–11:45 – Maciej Block (Gdańsk Tech): Periodic solutions of Hamiltonian system on CP^N [Abstract PDF]
11:45–12:00 – Marta Marszewska (Gdańsk Tech & Dioscuri Centre in Topological Data Analysis): A quantitative method for analyzing dynamical systems using topological data analysis tools [Abstract PDF]
12:00–12:15 – Dorota Chańko (Gdańsk Tech): Sequences realizable by diffeomorphisms of closed surfaces [Abstract PDF]
12:15–12:30 – Mateusz Masłowski (University of Gdańsk & Dioscuri Centre in Topological Data Analysis): Topological tools for phase transitions: Exploring the 2D Ising model [Abstract PDF]
12:30–12:45 – Wojciech Jaworek (Gdańsk Tech): Chaotic itinerancy. A set-oriented approach [Abstract PDF]
12:45–13:00 – Dorian Falęcki (Gdańsk Tech): Analysis of global dynamics using Conley-Morse graphs [Abstract PDF]
13:00–13:15 – Claudia Leslie Arias Coquil (Politecnico di Milano): Applying Sliding Window Techniques for Topological Data Analysis (TDA) of Temporal Geo-Data: Challenges and Optimizations [Abstract PDF]
13:15 – lunch

Other participants of the conference (without talks)
Grzegorz Graff (Gdańsk Tech, Poland)
Paweł Pilarczyk (Gdańsk Tech, Poland)
Justyna Signerska-Rynkowska (Gdańsk Tech, Poland)
Xiaowei Pang (Hebei Normal University, China)
Jacek Gulgowski (University of Gdańsk, Poland)

Photos:

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