Dirac equation between discrete and continuous: new trends and applications

In the last few years, the Dirac equation has received much attention: based on well-established results traditionally obtained for general Riemannian manifolds by mathematical physicists and noncommutative geometers, Dirac operators are nowadays also studied in different spatial environments, including combinatorial and metric graphs, simplicial complexes, and further (semi)discrete structures. Dirac operators thus also play an increasing role in signal processing and machine learning, among other fields.

To survey recent developments in the analysis of the Dirac equation and the interdisciplinary use of the Dirac operators on graphs we are currently organizing a workshop on the topic that will take place online on

May 3-4, 2023.

To foster communication between pure and applied scientists, several research directions will be represented, as the workshop aims at bringing together several communities working independently -- and sometimes unaware -- of each other. Our workshop will feature moderately short communications (~30 minutes) and much time for discussion.

The tentative schedule is as follows:

May 3, 2023:

14:30 CEST Olaf Post (Trier, Germany)
15:10 CEST Ginestra Bianconi (QMUL, UK)
15:50 CEST Lorenzo Tentarelli (Politecnico di Torino, Italy)

Coffee Break

17:00 Shahn Majid (QMUL, UK)
17:40 Sergei Avdonin (University of Alaska Fairbanks, USA)
18:10 Hanne van den Bosch (CMM, Chile)

May 4, 2023

14:30 CEST Kelin Xia (NTU, Singapore)
15:10 CEST Illia Karabash (Bonn, Germany)
15:50 CEST Marjeta Kramar Fijavž (Ljubljana, Slovenia)

Coffee Break

17:00 CEST Alberto Richtsfeld (Potsdam, Germany)
17:40 CEST Timoteo Carletti (Namur, Belgium)
18:10 CEST Daniel Parra (USaCh, Chile)

Registration is free but mandatory: please visit this page.


Ginestra Bianconi (Queen Mary University of London, ginestra.bianconi@gmail.com)
Delio Mugnolo (FernUniversität in Hagen, delio.mugnolo@fernuni-hagen.de)

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