Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Noncommutative Manifolds and their Symmetries in honour of Giovanni Landi for his sixtieth birthday

The Guest Editors for this special issue are

Francesca Arici (Radboud Universiteit Nijmegen, The Netherlands)
Alain Connes (IHES, France)
Francesco D'Andrea (Università di Napoli Federico II, Italy)
Giuseppe Dito (Université de Bourgogne, France)
Chiara Pagani (Università di Trieste, Italy)
Walter van Suijlekom (Radboud Universiteit Nijmegen, The Netherland)

Topics for this special issue will include:

  • noncommutative spaces and spectral triples;
  • quantization and deformations;
  • noncommutative fiber bundles and gauge theoriesd;
  • Hopf algebras and quantum groups;
  • geometric Langlands correspondence;
  • applications to mathematical physics and to other branches of mathematics.

Noncommutative geometry provides an operator theoretic reformulation of differential geometry and allows to extend its tools to possibly non-commutative algebras, such as the ones appearing in quantum mechanics. It is precisely in the field of mathematical physics that its major applications flourish: for example in condensed matter physics, with the study of topological insulators, and in gauge theory, with the re-formulation of the Standard Model of elementary particles.

This issue is related to the conference dedicated to Giovanni Landi on the occasion of his sixtieth birthday, held at Grand Hotel de Rose in Scalea (Italy), September 16–20, 2019.

How to Submit an Article to the Issue.

There is no limit to the length of an article. Deadline for paper submission is March 31, 2020.

All articles will go through the standard peer reviewing procedure of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. The reviewing process starts once the paper is submitted and we will publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.

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