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  1. alainconnes.org › wp-content › uploadsNoncommutative Geometry, Quantum Fields and ... - Alain Connes

    E-mail address: alain@connes.org M. Marcolli: Max{Planck Institut fur Mathematik, Vivatsgasse 7,˜ Bonn, D-53111 Germany. E-mail address: marcolli@mpim-bonn.mpg.de. Contents. Preface 9 Chapter 1. Quantum flelds, noncommutative spaces, and motives 17 1. Introduction 17 2. Basics of perturbative QFT 22 2.1. Lagrangian and Hamiltonian formalisms ...

  2. alainconnes.org › 2021 › 09From noncommutative geometry to tropical geometry — Alain Connes

    Sep 29, 2021 · Talk given in the conference “Unifying Themes in Geometry”, Como, September 2021.

  3. alainconnes.org › 2018 › 05Grand entretien (La méthode scientifique ... - Alain Connes

    May 17, 2018 · Noncommutativity and physics: a non-technical review. Ali Chamseddine, Alain Connes, Walter van Suijlekom. Eur. Phys. J. Spec. Top., vol. 232, pp. 3581–3588, 2023 ...

  4. www.quantamagazine.org › mathematicians-grappleQuanta Magazine

    Apr 8, 2020 · The mathematical problem is the Connes embedding conjecture, posed in 1976 by Alain Connes of the Institute of Advanced Scientific Studies in France. It has to do with certain numerical objects that arise in the mathematics of quantum mechanics.

  5. alainconnes.org › 2024 › 02Mathematics and Imagination — Alain Connes

    Feb 11, 2024 · Noncommutativity and physics: a non-technical review. Ali Chamseddine, Alain Connes, Walter van Suijlekom. Eur. Phys. J. Spec. Top., vol. 232, pp. 3581–3588, 2023 ...

  6. alainconnes.org › 2021 › 09On the Notion of Space — Alain Connes

    Sep 3, 2021 · Noncommutativity and physics: a non-technical review. Ali Chamseddine, Alain Connes, Walter van Suijlekom. Eur. Phys. J. Spec. Top., vol. 232, pp. 3581–3588, 2023 ...

  7. alainconnes.org › 2016 › 03Noncommutative geometry and physics (Arnold ... - Alain Connes

    Mar 3, 2016 · Noncommutativity and physics: a non-technical review. Ali Chamseddine, Alain Connes, Walter van Suijlekom. Eur. Phys. J. Spec. Top., vol. 232, pp. 3581–3588, 2023 ...