Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Combinatorial Algebraic Topology and Applications

created by collari on 13 Sep 2023
modified on 20 Nov 2023

27 nov 2023 - 28 nov 2023

Pisa: Centro De Giorgi

Directed graphs and simplicial complexes are ubiquitous objects in Mathematics and Science in general. Due to their simplicity and flexibility they find application in a wide range of fields: Physics, Computer Sciences, Biology, Neuroscience, Medicine, etc., encompassing and embracing most scientific domains. Extracting topological and combinatorial information is, therefore, not only interesting, but also particularly important from different perspectives.

The workshop “Combinatorial algebraic topology and applications” concerns various topics in combinatorics and algebraic topology, as well as their applications to different fields, eg. data analysis, neural sciences and economics.

Limited funding might be available to early registered participants. If needed, please contact Luigi Caputi ( or Carlo Collari (

The workshop also includes a poster session.

Those interested in presenting a poster should send an email to, including title and abstract, for the evaluation by the Scientific Committee.

The aim of the workshop is to gather researchers with common interest in the above topics and to create an atmosphere of discussion where to share ideas.

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Organizers: Luigi Caputi, Carlo Collari, Paolo Lisca.

27 Nov 2023
09:30 - J. Spreer: An algorithm to compute the crosscap number of a knot
11:00 - P. Salvatore: A small combinatorial model for the homology spectral sequence for long knots
12:00 - J. Smith: Brain Structure, Function, and Reliability Explored Using Combinatorial Algebraic Topology
14:30 - L. Bénard: L^2-Betti number through triangle counting
15:30 - C. Damiani: How can we use tda for breast cancer risk assessment?
28 Nov 2023
09:30 - S. Settepanella: Combinatorial Morse theory and minimality of hyperplane arrangements
11:00 - V. Siconolfi: On the Cohomology of the Toric Compact Model of Type A_n
12:00 - I. Patchkoria: Chromatic Euler characteristics of infinite groups

Speakers: Léo Bénard, Celeste Damiani, Irakli Patchkoria, Paolo Salvatore, Simona Settepanella, Viola Siconolfi, Jason Smith, Jonathan Spreer.


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