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Position:
Professor at the
Université de Picardie
Jules-Verne. Member of the "Laboratoire Amiénois de Mathématique Fondamentale et Appliquée" ( LAMFA, CNRS, UMR 7352) |
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Address:
Université de Picardie Jules-Verne Département de Mathématiques UFR Sciences 33 Rue Saint-Leu F-80039 Amiens Cedex 01 France |
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Phone number: (33) 3 22 82 75 13
fax: (33) 3 22 82 78 38 e-mail : digne@ u-picardie.fr |
Algebraic groups, particularly over fields of positive characteristic; representations of finite groups of Lie type.
Reflection groups, Hecke algebras, braid and Artin-Tits groups
I am presently a member of the project "theogar" supported by ANR.
Around Garside theory (Amiens, may 12 and 13, 2011)
The center of pure complex braid groups (Journal of Algebra, Volume 347, Pages 206--213), with Ivan Marin and Jean Michel
A Garside presentation for Artin-Tits groups of type $\tilde C_n$ (to appear in Annales de l'Institut Fourier)
In preparation: a book written with Patrick Dehornoy, Eddy Godelle, Daan Krammer and Jean Michel on Garside structures. A preliminary version can be found here and is regularly updated. Any comment is welcome.
From Broué's conjectures to questions in braid group theory (pdf) Conference in Canberra (july 2007)
Garside and locally Garside categories, with J. Michel (math.GR/0612652, 2007)
Endomorphisms of Deligne-Lusztig varieties (math.RT/0509011, Nagoya Math. Journal 183, 2006 pp. 35--103), with J. Michel.
Cohomologie des variétés de Deligne-Lusztig (math.RT/0410454, Advances in Math. 209, 2007 pp 749--822) with J. Michel et R. Rouquier.
Présentations duale pour les groupes de tresses de type affine à (math.GR/0402116, à paraître dans Commentarii, 2004).
On the linearity of Artin braid groups, (Journal of Algebra 268, No 1, 2003) pp. 39--57. version dvi
The space of unipotently supported class functions (avec G. Lehrer et J. Michel, Journal of Algebra 260, No 1 (2003). version dvi ou ps
Points fixes des automorphismes quasi-semi-simples (avec J. Michel), CRAS 334, No 12 (2002). version ps
Springer theory in braid groups and the Birman-Ko-Lee monoid (avec D. Bessis et J. Michel), Pacific J. Math. 205, No 2 (2002) 287--309. version pdf
Presentation of pure braid groups (avec Y. Gomi), Journal for Knot Theory and its Ramifications, vol. 10, No 4 (2001). version dvi ou ps