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Home > Seminars > Mathematics 19th and 20eth, History and Philosophy

Axis History and philosophy of mathematics

Mathematics 19th and 20eth, History and Philosophy



The seminar on the history and philosophy of modern mathematics is a place of presentation and discussion of mathematical texts produced in the 19th and 20th centuries, in both historical and philosophical perspectives. It intends to serve as a place of exploration (reading, translation, explanation) of mathematical documents little or poorly known, but also to present work in progress on these periods. The emphasis is on proximity to textual sources. The sessions usually take the form of a discussion of the said sources (to which speakers give prior access), preceded by a historical or mathematical exposition.

Coordination: Frederic Jaeck, Nicolas Michel

Archives
2011-2012, 2012-2013, 2013-2014,
2014-2015, 2015-2016, 2017-2018,
2018-2019, 2019-2020

SCHEDULE 2020-2021

As soon as it is possible, the planning of the sessions will be displayed on this page and announced via our mailing lists




SCHEDULE 2019-2020


Sessions (in French) take place at the University Paris Diderot, Building Condorcet
4, rue Elsa Morante, 75013 Paris – Access map
All sessions of SPHERE seminars are suspended from March 15 due to covid-19. We hope to be able to provide further updates and to see you soon.

Thursday 2019/11/21, 9:30am – 1:00pm, 371A
  • Gisele Secco (Universidade Federal de Santa Maria)
    The Four-Colour Theorem: old and new philosophical problems
  • François Lê (Université Lyon 1)
    Riemann lu par Clebsch, et l’introduction de la notion de genre


Thursday 12/5, 9:30am – 1:00pm, 371A

  • Raphaël Alexandre (Institut Mathématique de Jussieu)
    Approches de la géométrie contemporaine : Elie Cartan, William Thurston
  • Planning of the translation project of the Bericht of Brill-Noether


Tuesday 2020/01/14, session cancelled and partially postponed to March

  • Elena Rinaldi (Università di Modena)
    Sur la notion de faisceau chez Leray et Cartan
  • Nicolas Michel (Univ. Paris Diderot, SPHERE)
    Translation project Brill-Noether, further on


Monday 02/03, session cancelled and partially postponed to March

  • Cédric Vergnerie (Univ. Paris Diderot, SPHERE)
    Sur une controverse entre Kronecker et Picard
    Dans deux articles publiés en 1869 et 1878, Leopold Kronecker construit une théorie qui prend sa source dans le travail de Sturm sur la détermination du nombre de solutions réelles d’une équation. La présentation de cette théorie des caractéristiques par Émile Picard va donner lieu à une controverse entre les deux mathématiciens sur la paternité d’une formule donnant le nombre de solutions de certains systèmes de plusieurs équations. Après avoir donné un aperçu de la théorie des caractéristiques, nous montrerons comment, à travers cette dispute, c’est en fait la façon dont ces deux mathématiciens appréhendent les mathématiques qui est en jeu
  • Nicolas Michel (Univ. Paris Diderot, SPHERE)
    The principe of correspundance in the project Brill-Noether


Tuesday 03/03, 1:30pm – 5:00pm, 371A

  • Cédric Vergnerie (Univ. Paris Diderot, SPHERE)
    Sur une controverse entre Kronecker et Picard
    Dans deux articles publiés en 1869 et 1878, Leopold Kronecker construit une théorie qui prend sa source dans le travail de Sturm sur la détermination du nombre de solutions réelles d’une équation. La présentation de cette théorie des caractéristiques par Émile Picard va donner lieu à une controverse entre les deux mathématiciens sur la paternité d’une formule donnant le nombre de solutions de certains systèmes de plusieurs équations. Après avoir donné un aperçu de la théorie des caractéristiques, nous montrerons comment, à travers cette dispute, c’est en fait la façon dont ces deux mathématiciens appréhendent les mathématiques qui est en jeu.
  • Nicolas Michel (Univ. Paris Diderot, SPHERE)
    The principle of correspondence in the Brill-Noether project


Tuesday 05/12, 9:30am – 1:00pm, 371A

  • Christopher Hollings (University of Oxford)
    Meeting under the integral sign? The Oslo Congress of Mathematicians on the eve of the Second World War
    Oral communication, and congresses in particular, remain a crucial element within mathematical communication – even in the current age of electronic mail. Indeed, congresses and meetings serve many more purposes than simply communicating information about recent mathematical research, and this has always been the case, with each particular historical period setting different priorities. The present talk is drawn from a book, recently completed with Reinhard Siegmund-Schultze, which focuses upon and stresses the historically unique character of the Oslo International Congress of Mathematicians of 1936. This congress was the only one on this level to be held during the period of the Nazi regime in Germany (1933–1945) and after the wave of emigrations from it. In this talk, I will survey the differences between the goals of the various participants in the congress, most particularly the Norwegian organisers, and the Nazi-led German delegation. I will consider also the background to the absence of the proposed Soviet and Italian delegations. If time permits, I will also go into the mathematical dimension of the Oslo congress, this being the conference at which the Fields Medals were awarded for the first time. Overall, the Oslo congress may be used as a lens through which to view the state of the art of mathematics in the mid-1930s.



Details of these sessions will be displayed on this page:


Tuesday 2020/04/21, 1:30 pm– 5:00pm, 371A

2020/06/10, 9:30am – 1:00pm, 371A