Computational Aspects of Applied Topology

Welcome to the session "Computational Aspects of Applied Topology" of the joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society which will take place in Wrocław, Poland from Monday, September 17th till Thursday, September 20th 2018.

Algebraic topology is gaining a lot of attention and visibility as a rigorous mathematical tool to understand the shape of data and subsequently to solve many fundamental and practical problems in mathematics, sciences and beyond. The topological descriptor of data turned out to be useful in engineering, dynamical systems, material and life sciences and many other disciplines. This session will bring together scientists to discuss new algorithms to compute existing topological invariant and to discover new, commutable and stable topological and geometrical invariant. It will also summarize new and existing applications of topological tools.

Plenary Speakers:

• Bruno Benedetti (U. Miami) - "Drawing contractible 2-complexes in R^4"
• Paola Cristofori (U. Modena e Reggio Emilia) - "Topological aspects of Colored Tensor Models in Quantum Gravity"
• Barbara Giunti (U. Pavia) - "Classification of filtered chain complexes"
• Federico Iuricich (City U. New York) - "A Discrete Morse-based approach for multidimensional persistent homology"
• Frank Lutz (TU Berlin) - "Roundness of cells in cellular microstructures"
• Giovanni Petri (ISI Foundation U.) - "Topology and curvature of brain functional networks"
• Mateusz Przybylski (Jagiellonian U.) - "Conley index approach to sampled dynamics"
• Elena Queirolo (VU Amsterdam) - "Fixed point arguments for dynamical systems, periodic orbits and bifurcation"
• Jan Spaliński (Warsaw U.) - "A zig-zag version of homotopy theory"
• Mauricio Toro (Champalimaud Found. Lisbon) - "Semantic relations from a topological viewpoint"
• Stephan Zhechev (IST-Austria) - "Embeddings of simplicial complexes in Euclidean spaces from the algorithmic viewpoint"

Would you like to join? Just send an email to the Organizing Committee. We are looking forward to see you in Wroclaw!

We encourage participants to apply for a contributed talk. Please attach an abstract to your email.

Here is the preliminary schedule.

Monday, 17.09.2018

14:30-15:00: Giovanni Petri

15:00-15:30: Federico Iuricich

15:30-16:00: Paola Cristofori

16:00-16:30: Mateusz Przybylski

Tuesday, 18.09.2018

17:00-17:30: Elena Queirolo

17:30-18:00: Jan Spalinski

18:00-18:30: Stephan Zhechev

Wednesday, 19.09.2018

14:30:-15:00: Frank Lutz

15:00-15:30: Bruno Benedetti

15:30-16:00: Mauricio Toro

16:00-16:30: Barbara Giunti

Thursday, 20.09.2018

9:00-9:30:

9:30-10:00:

10:00-10:30:

Organizing Committee:

• Pawel Dlotko (p.t.dlotko@swansea.ac.uk)
• Massimo Ferri (massimo.ferri@unibo.it)
• Maurizio Garrione (maurizio.garrione@polimi.it)