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Accueil > Pages web personnelles > Philippe Lebacque

Philippe Lebacque



 


 


I am currently Maître de Conférences at the Université de Franche- Comté and part-time researcher at inria. During the last years, I was researcher at the Poncelet Laboratory in Moscow and at the Universities of Heidelberg, Nottingham and Regensburg.


For more information, you can download my CV.



Contact information


Laboratoire de Mathématiques de Besançon


UFR Sciences et techniques


16, route de Gray


25 030 Besançon


France


Office : 407 B


Phone : +33 3 81 66 63 58


Email : Philippe.Lebacque’ at’ univ-fcomte.fr


Research interests

  • Asymptotic problems on global fields, zeta-functions, error-correcting codes, sphere packings...

  • Higher dimensional class field theory and class field towers

  • Zeta functions

  • Explicit methods in arithmetic


Projects I am/was involved in.

  • I joined the GRACE project this year.

  • I am part of the ANR Project Globes run by Jérôme Poineau at Strasbourg.

  • I organized the special year in arithmetic geometry in the French-Russian Poncelet Laboratory in Moscow (see the webpage).

  • I was part of the DFG Project algebraic cycles and L-functions as researcher and postdoc.

  • I was part of the EPSRC Project two dimensional adelic analysis as postdoc.


Papers and Preprints

  1. P. Lebacque, Sur quelques propriétés asymptotiques des corps globaux, PhD thesis, Université de Marseille II (Mai 2007).

  2. P. Lebacque, Generalised Mertens and Brauer-Siegel Theorems, Acta Arith. 130(2007),no. 4, 333—350

  3. P. Lebacque, On Tsfasman-Vladuts invariants of infinite global fields, IJNT 6 (2010),no.6,1419—1448.

  4. P. Lebacque et A. Zykin, On logarithmic derivatives of zeta function in families, IJNT 7 (2011), no.8,2139—2156 pdf

  5. P. Lebacque et A. Zykin, Логарифмическая производная дзета функций в семействах глобальных полей, Доклады Академии Наук, 2010, том 431, No 2, с. 162-164

  6. P. Lebacque et A. Zykin, Asymptotic methods in number theory and algebraic geometry, PMB 2011.

  7. J. Blondeau, P. Lebacque et C. Maire, On the cohomological dimension of some pro-p-extensions above the cyclotomic Zp extension of a number field, Mosc. Math. 13 (2013), no. 4, 601–619

  8. P. Lebacque, Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts (very old version), to appear (Annales de l’Institut Fourier)

  9. P. Lebacque, A. Schmidt, Свойство K(π,1) для неособых отмеченных кривых над конечными полями, preprint 2014
    english version : The K(π,1)-property for marked curves over finite fields

  10. P. Lebacque, A. Zykin, Lower bound for the class number of an algebraic curve defined over Fq, preprint 2014